Two trains A and B of length l and 4 l are travelling into a tunnel of length L in parallel tracks from…

Two trains A and B of length l and 4l are travelling into a tunnel of length L in parallel tracks from opposite directions with velocities 108 km h-1 and 72 km h-1, respectively. If train A take 35 s less time than train B to cross the tunnel then, length L of tunnel is:

(Given L=60 l)

  1. 1200 m
  2. 900 m
  3. 1800 m
  4. 2700 m

Solution

The time taken for A

ΔtA=l+LVA

The time taken for B

ΔtB=4l+LVB

It is given that B takes more time than A. So,

4l+L20-l+L30=35

64l20-61l30=35

l=35×600700=30 m

Therefore,

L=1800 m.

Asked in: JEE Main 2023 (13 Apr Shift 1)

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