# Need for Speed-Solving Problems on Trains YouTube Lecture Handouts

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If a train passes by a stationary man in ‘t1’ seconds and passes by a platform/bridge, the length of which is ‘p’ , completely in ‘t2’ sec. Then length of the train ‘l’ is

Two trains of length ‘l1’ m and ‘l2’ m respectively run on parallel lines of rails. When running in the same direction the faster train passes the slower one in ‘t1’ seconds, but when they are running in opposite directions with the same speeds as earlier, they pass each other in ‘t2’ seconds. Speed of Faster and Slower Train.

**Time taken to cross a moving object in the direction of train** Given Length of object as Lo, Length of train as Lt Speed of moving object as So Speed of train as . Time taken to cross a moving object in the direction of train = Time taken to cross a moving object in the direction of train =

## Some Sample Questions

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A. 120 metres

B. 180 metres

C. 324 metres

D. 150 metres

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

A. 120 m

B. 240 m

C. 300 m

D. None of these

A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?

A. 66 km/hr

B. 72 km/hr

C. 78 km/hr

D. 81 km/hr

A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

A. 400 m

B. 450 m

C. 560 m

D. 600 m

-Mayank