Question

A train overtakes two persons who are walking in same direction in which train is going, at the rate of 2 kmph & 4 kmph & passes them completely in 9 & 10 seconds respectively. The length of the train

Answer 1

Answer:

Explanation of the Answer:

2 kmph = 2×5182×518 metre/sec.

= 5959 metre/sec.

and 4kmph = 4×5184×518 metre/sec.

= 109109 metre/sec.

Let the length of the train be x metre and its speed be y metre/sec.

Then,

xy−59xy−59 = 9

=> 9y - 5 = x

∴∴ 9y - x = 5 .... (i)

and xy−109xy−109 = 10

=> 10 (9y - 10) = 9x

=> 90y - 9x = 100 ....(ii)

By equation (i) ×× 10 - equation (ii), we have

=> Length of train = 50m

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