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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 below show their velocities as function of time as the trains slow down. The separation between the trains when both have stopped is

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a

120 m

b

280 m

c

60 m

d

20 m

answer is D.

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Detailed Solution

Initial distance between trains is 300 m. Displacements of trains can be calculated by area under V-t graph. Displacement of train 1=12×10×40=200m Displacement of train 2=12×8×(−20)=−80mwhich means it moves towards left.∴ Distance between the two is 300−200−80=20m.

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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 below show their velocities as function of time as the trains slow down. The separation between the trains when both have stopped is