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?

- 12
- 15
- 16
- 18

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 : 2
- 2 : 3
- 3 : 4
- 1 : 1

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?

- 6 : 5
- 4 : 3
- 6 : 1
- 4 : 2

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?

- 4 : 5
- 1 : 2
- 8 : 5
- 5 : 8

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?

- Two hours
- Two and a half hours
- Four hours
- Five and a half hours

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

- 6 min
- 3 min
- 2 min
- 4 min

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

- 105 km
- 120 km
- 150 km
- 165 km

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

- 4.5 km
- 6 km
- 7.2 km
- 12 km

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

- 350 m
- 300 m
- 200 m
- 150 m

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

- 59.4 km/h
- 78 km/h
- 37.4 km/h
- 35.4 km/h

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.

- 100 m
- 120 m
- 150 m
- 160 m

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

- 18 km/hr
- 24 km/hr
- 30 km/hr
- 36 km/hr

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?

- 200 m
- 300 m
- 400 m
- 500 m

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?

- 40 seconds
- 30 seconds
- 25 seconds
- 15 seconds

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?

- 4 p.m.
- 2 a.m
- 12 midnight
- 6 a.m.

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?

- 5/4 m/s
- 7/5 m/s
- 4/3 m/s
- 6/5 m/s

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?

- 25:20
- 25:21
- 5:7
- 5:3

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?

- 48 km/hr
- 55 km/hr
- 50 km/hr
- 45 km/hr

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