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