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Problems on Trains Questions and Answers

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111.

A man walks with 3kmph speed in the direction of a train. How much time will a 500m long train take to overtake him at a speed of 63kmph?

Answer: B

Distance to be covered = 500 metres

Effective speed will be equal to difference in the speed of ma and train as they move in opposite directions.

Thus, effective speed = 63kmph-3kmph= 60kmph.

60kmph is equal to 50/3 m/s.

Time = Distance/ Speed

Thus, time taken will be equal to 500/(50/3).

On solving, time = 30 seconds.

Therefore, the train will take 30 seconds to overtake the man.

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112.

A train passes a telegraph post in 8 seconds and a 264 m long bridge in 20 seconds. What is the length of the train

Answer: B

A telegraph post has no length, so the first crossing covers only the train.

\[ L = 8v \]

The bridge crossing covers the train plus 264 m:

\[ L + 264 = 20v \]

Substituting the first into the second:

\[ 8v + 264 = 20v \quad\Longrightarrow\quad 12v = 264 \quad\Longrightarrow\quad v = 22 \text{ m/s} \]

\[ L = 8 \times 22 = 176 \text{ m} \]

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