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Two trains, which are moving along diffe...

Two trains, which are moving along different tracks in opposite directions, are put on the same track due to a mistake. Their drivers, on noticing the mistake, start slowing down the trains when the trains are 300 m apart. Graphs given in figure show their velocities as function of time as the trains slow down. The separation between the trains when both have stopped is

A

`120m`

B

280 m

C

60 m

D

20 m

Text Solution

Verified by Experts

The correct Answer is:
D
d. Initial distance between trains is 300m. Displacement of trains
can be calculated by area under `V-t graph`.

Displacement of train `1 = 1/2 xx 10xx 40 = 200m`
Displacement of train `2 = 1/2 xx 8 xx (-20) = -80m`
which means it moves towards left.
Hence, distance between the two is `300 - 200 - 80 = 20m`.
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