Question

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

Answer 1

Answer:

c) = 50

Step-by-step explanation:

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

Part of solved Time and Distance questions and answers : >> Aptitude >> Time and Distance