Bunuel
Two persons are walking in the same direction as a train. The first person walks at a speed of 3 km/h, and the second person walks at a speed of 5 km/h. The train overtakes the first person in 36 seconds and the second person in 40 seconds, where each time is measured from the moment the front of the train reaches the person to the moment the last carriage clears the person. What is the length of the train in meters?
A. 150 m
B. 160 m
C. 180 m
D. 200 m
E. 220 m
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Speed of person one = 3 Kmph
Speed of person two = 5 kmph.
Let the speed of train be t.
Relative speed = (t-3) kmph for person one
Relative speed = (t-5) kmph for person two.
Length of the train be L.
(t-3) = L /36
We need to multiply with (5/18) to convert kmph to m/s.
L = (t-3)*36 * (5/18).
Similarly for person two.
L = (t-5)*40*(5/18)
Equating both, we get
(t-3)*36 * (5/18) = (t-5)*40*(5/18)
(t-3)*9 = (t-5)*10
t = 23 kmph.
Substitute t =23 in L = (t-3)*36 * (5/18).
L =20*36*(5/18)
L =
200 metres.
Option D