How long does it take the car to pass it ? (in min)

4.5

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5.5

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3.5

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6.5

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Solution

The correct option is A $4.5$
Speed of automobile $v_{a} = 90 k m / h$
Speed of train $v_{t} = 70 k m / h$
Relative velocity of automobile w.r.t. train $v_{a t} = v_{a} - v_{t} = 90 - 70 = 20 k m / h$
Length of train $D = 1.5 k m$
Time taken to pass $t = \frac{D}{v_{a t}} = \frac{1.5}{20} = 0.075 h$
$⟹ t = 0.075 \times 60 = 4.5 m i n$

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