Time & Distance Test 7

1. The difference between the times taken by two buses to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 kmph, find the slower speed:

2. One bad day, at 7 a.m. I started on my bike at the speed of 36 kmph to meet one of my relatives. After I had travelled some distance, my bike went out of order and I had to stop. After resting for 35 minutes, I returned home on foot at a speed of 14 kmph and reached home at 1 p.m. Find the distance from my house at which my bike broke down :

3. When a bus stops at different stations then its average speed is 40 km/h. But when it travels without stoppage the average speed of the bus is 50 km/h. Then find how many minutes the bus stops in an hour?

4. A circular track has radius equal to 7 m. Two boys Shobhit and Bhuvnesh start simulta neously to run along the track from a point A. Shobhit runs in clockwise while Bhuvnesh runs in anti-clokcwise direction. If by the time two meet for the fifth time, Shobhit had run 140 m, then what is the ratio of speeds of Shobhit and Bhuvnesh?

5. A, B and C can walk at the rates of 6, 8 and 10 km/h respectively, They start from the same place at 2, 4 and 6 pm in the evening in the same direction respectively. When B catches A, B sends him back with a message to C. When will C get the message?

6. A train 180 m long moving at the speed of 20m/sec overtakes a man moving at a speed of 10 m/ sec in the same direction. The train passes the man in :

7. A train 100 m long is running at the speed of 30 km/hr. The time (in second) in which it will pass a man standing near the railway line is :

8. How many seconds will a 500 metre long train takes to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

9. The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute, then the length of the train (in metres) is :

10. A train is 125 m long. If the train takes 30 seconds to cross a tree by the railway line, then the speed of the train is :

11. A train passes two bridges of length 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is :

12. A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metre long in 20 seconds. The length of the train (in metres) is :

13. A 75 metre long train is moving at 20 kmph. It will cross a man standing on the platform in:

14. A 150 metre long train crosses a 500 metre long bridge in 30 seconds. What time will it take to cross a platform 370 metre long?

15. A train 300 metre long is running at a speed of 25 metre per second. It will cross a bridge of 200 metre in :

16. A train 800 metre long is running at the speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is :

17. Two trains are running in opposite directions with the same speed. If the length of each train is 120 metre and they cross each other in 12 second then find the speed of each train (in km/hour) :

18. Two trains are running with speeds 30 km/hr and 58 km/ hr in the same direction. A man in the slower train is passed by the faster train in 18 seconds. The length (in metres) of the faster train is :

19. A train takes 18 seconds to pass a platform 162 m long and 15 seconds to pass another platform 120 m long. The length of the train (in m) is :

20. The ratio of lengths of two trains is 5 : 3 and the ratio of their speeds is 6 : 5. The ratio of time taken by them to cross a pole is :