# Time, Speed 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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