How many seconds will a 600 m long train take to cross a man walking with a spee

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Question
How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ?
Options
A. 29 sec
B. 58 sec
C. 36 sec
D. 44 sec

Correct Answer

36 sec

Explanation

Speed of train relative to man = 67 - 7 = 60 km/hr.
= 60 x 5/18 = 50/3 m/sec.

Time taken to pass the man = 600 x 3/50 = 36 sec.

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Problems on Trains

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1. 5 hrs after a goods train passed a station, another train travelling at a speed of 70 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 9 hours. What is the speed of the goods train?
Options
A. 45 km/hr
B. 54 km/hr
C. 67.5 km/hr
D. 36 km/hr

3. Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N
Options
A. 600
B. 700
C. 1300
D. 1500

4. A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
Options
A. 240 mts
B. 270 mts
C. 260 mts
D. 250 mts

5. Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ?
Options
A. 42 sec
B. 44 sec
C. 46 sec
D. 48 sec

6. A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?
Options
A. 10 sec
B. 48 sec
C. 36 sec
D. 56 sec

7. Train A can cross a man in 8 sec and a 180 m long platform ?P? in 17 sec. If train A cross train B which is running in opposite direction at speed of 108 km/hr in 8 sec, then find time taken by train B to cross platform P?
Options
A. 16 sec
B. 11 sec
C. 14 sec
D. 12 sec

8. The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?
Options
A. 50m
B. 40m
C. 60m
D. 45m

10. Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by a third, so it takes 3 hours more than Train A to complete the same journey? What is the speed of Train A (in km/hr)?
Options
A. 80
B. 90
C. 60
D. 70

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