Speed, Time and Distance

A train 200 metres long is moving at the rate of 40 kmph

A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

  1. 12
  2. 15
  3. 16
  4. 18
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The figure drawn below gives the velocity graphs of two vehicles A and B

The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD = ½ LD:

What is the ratio between the distances covered by vehicles A and B in the time interval OL?

  1. 1 : 2
  2. 2 : 3
  3. 3 : 4
  4. 1 : 1
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Two persons, A and B are running on a circular track

Two persons, A and B are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

  1. 6 : 5
  2. 4 : 3
  3. 6 : 1
  4. 4 : 2
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In a 100 m race, A runs at a speed of 5/3 m/s

In a 100 m race, A runs at a speed of 5/3 m/s. If A gives a start of 4 m to B and still beats him by 12 seconds, what is the speed of B?

  1. 5/4 m/s
  2. 7/5 m/s
  3. 4/3 m/s
  4. 6/5 m/s
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A passenger train departs from Delhi at 6 pm for Mumbai

A passenger train departs from Delhi at 6 pm for Mumbai. At 9 pm, an express train, whose average speed exceeds that of the passenger train by 15 km/hour leaves Mumbai for Delhi. Two trains meet each other mid-route. At what time do they meet, given that the distance between the cities is 1080 km?

  1. 4 p.m.
  2. 2 a.m
  3. 12 midnight
  4. 6 a.m.
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A 225 m long train is running at a speed of 30 km/hour

A 225 m long train is running at a speed of 30 km/hour. How much time does it take to cross a man running at 3 km/hour in the same direction?

  1. 40 seconds
  2. 30 seconds
  3. 25 seconds
  4. 15 seconds
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A thief is spotted by a policeman from a distance of 100 m

A thief is spotted by a policeman from a distance of 100 m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is 8 km/hour and that of the policeman is 10 km/hour, then how far will the thief have to run before he is overtaken?

  1. 200 m
  2. 300 m
  3. 400 m
  4. 500 m
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A car travels first one-third of a certain distance with a speed of 10 km/hr

A car travels first one-third of a certain distance with a speed of 10 km/hr, the next one-third of the distance with the speed of 20 km/hr and the last one-third distance with a speed of 60 km/hr. The average speed of the car for the whole journey is

  1. 18 km/hr
  2. 24 km/hr
  3. 30 km/hr
  4. 36 km/hr
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A thief is noticed by a policeman from a distance of 200 m

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 10 km/h and 11 km/h respectively. What is the distance between them after 6 minutes.

  1. 100 m
  2. 120 m
  3. 150 m
  4. 160 m
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A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min

A wheel of radius 2.1 m of a vehicle makes 75 revolutions in 1 min. What is the speed of the vehicle?

  1. 59.4 km/h
  2. 78 km/h
  3. 37.4 km/h
  4. 35.4 km/h
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A train running at the speed of 72 km/h goes past a pole in 15 s

A train running at the speed of 72 km/h goes past a pole in 15 s. What is the length of the train?

  1. 350 m
  2. 300 m
  3. 200 m
  4. 150 m
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A person travels a certain distance at 3 km/h and reaches 15 min late

A person travels a certain distance at 3 km/h and reaches 15 min late. If he travels at 4 km/h, he reaches 15 min earlier. The distance he has to travel is

  1. 4.5 km
  2. 6 km
  3. 7.2 km
  4. 12 km
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A car is traveling at a constant rate of 45 km/h

A car is traveling at a constant rate of 45 km/h. The distance traveled by the car from 10:40 am to 1:00 pm is

  1. 105 km
  2. 120 km
  3. 150 km
  4. 165 km
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Two cities A and B are 360 km apart. A car goes from A to B

Two cities A and B are 360 km apart. A car goes from A to B with a speed of 40 km/hr and returns to A with a speed of 60 km/hr. What is the average speed of the car?

  1. 48 km/hr
  2. 55 km/hr
  3. 50 km/hr
  4. 45 km/hr
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A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr

A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. if the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be

  1. 6 min
  2. 3 min
  3. 2 min
  4. 4 min
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A person can walk a certain distance and drive back in six hours

A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

  1. Two hours
  2. Two and a half hours
  3. Four hours
  4. Five and a half hours
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If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours

If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

  1. 4 : 5
  2. 1 : 2
  3. 8 : 5
  4. 5 : 8
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In a 500 metres race, B starts 45 metres ahead of A

In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

  1. 25:20
  2. 25:21
  3. 5:7
  4. 5:3
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The distance from A to B is 60 km. Partha and Narayan start from A

The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is

  1. 4
  2. 6
  3. 5
  4. 3
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Train T leaves station X for station Y at 3 pm

Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-fifths of that between X and Y. How many hours does train T take for its journey from X to Y?

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Point P lies between points A and B such that the length of BP

Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is

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A train 280 m long is moving at a speed of 60 kmph

A train 280 m long is moving at a speed of 60 kmph. What is the time taken by the train to cross a platform 220 m long?

  1. 45 s
  2. 40 s
  3. 35 s
  4. 30 s
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A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph

A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

  1. 24 km
  2. 25 km
  3. 20 km
  4. 22.5 km
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A man can walk up a moving 'up' escalator in 30s. The same man can walk down

A man can walk up a moving 'up' escalator in 30 s. The same man can walk down this moving 'up' escalator in 90 s. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?

  1. 30 s
  2. 45 s
  3. 60 s
  4. 90 s
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A man travels from A to B at a speed x km/hr. He then rests at B for x hours

A man travels from A to B at a speed x km/hr. He then rests at B for x hours. He then travels from B to C at a speed 2x km/hr and rests for 2x hours. He moves further to D at a speed twice as that between B and C. He thus reaches D in 16 hr. If distances A-B, B-C and C-D are all equal to 12 km, the time for which he rested at B could be

  1. 2 hr
  2. 3 hr
  3. 4 hr
  4. 6 hr
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A train can travel 50% faster than a car. Both start from point A at the same time and reach point B

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

  1. 100 kmph
  2. 110 kmph
  3. 120 kmph
  4. 130 kmph
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In a watch, the minute hand crosses the hour hand for the third time exactly after

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hr 18 min and 15 s of watch time. What is the time gained or lost by this watch in one day?

  1. 13 min 50 s lost
  2. 14 min 40 s gained
  3. 14 min 10 s lost
  4. 13 min 20 s gained
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Two boats, traveling at 5 and 10 kms per hour, head directly towards each other

Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide?

  1. 1/6
  2. 1/4
  3. 1/3
  4. 1/12
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If a man cycles at 10 km/hr, then he arrives at a certain place at 1 PM

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 PM. If he cycles at 15 km/hr, he will arrive at the same place at 11 AM. At what speed must he cycle to get there at noon?

  1. 11 km/hr
  2. 12 km/hr
  3. 13 km/hr
  4. 14 km/hr
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In a flight of 600 km, an aircraft was slowed down due to bad weather

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

  1. 1 hour
  2. 2 hours
  3. 3 hours
  4. 4 hours
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It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

  1. 2 : 3
  2. 3 : 4
  3. 4 : 3
  4. 3 : 2
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Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

  1. 9
  2. 10
  3. 12
  4. 20
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An express train travelling at 80 km/hr overtakes a goods train, twice as long

An express train travelling at 80 km/hr overtakes a goods train, twice as long and going at 40 km/hr on a parallel track, in 54 s. How long will the express train take to cross a platform of 400 m long?

  1. 18 s
  2. 27 s
  3. 36 s
  4. 45 s
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A chartered bus carrying office employees travels everyday in two shifts

A chartered bus carrying office employees travels everyday in two shifts - morning and evening. In the evening, the bus travels at an average speed which is 50% greater than the morning average speed; but takes 50% more time than the amount of time it takes in the morning. The average speed of the chartered bus for the entire journey is greater/less than its average speed in the morning by

  1. 18% less
  2. 30% greater
  3. 37.5% greater
  4. 50% less
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A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km

A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the river water in km/hr is?

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Arup and Swarup leave point A at 8 AM to point B

Arup and Swarup leave point A at 8 AM to point B. To reach B, they have to walk the first 2 km, then travel 4 km by boat and complete the final 20 km by car. Arup and Swarup walk at a constant speed of 4 km/hr and 5 km/hr respectively. Each rows his boat for 30 minutes. Arup drives his car at a constant speed of 50 km/hr while Swarup drives at 40 km/hr. If no time is wasted in transit, when will they meet again?

  1. At 9.15 AM
  2. At 9.18 AM
  3. At 9.21 AM
  4. At 9.24 AM
  5. At 9.30 AM
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Arun drove from home to his hostel at 60 miles per hour

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is

  1. 55 miles
  2. 60 miles
  3. 65 miles
  4. 70 miles
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A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed

A motorbike leaves point A at 1 pm and moves towards point B at a uniform speed. A car leaves point B at 2 pm and moves towards point A at a uniform speed which is double that of the motorbike. They meet at 3:40 pm at a point which is 168 km away from A. What is the distance, in km, between A and B?

  1. 364
  2. 378
  3. 380
  4. 388
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