Two car are moving in the same direction with same speed of $30 k m p h$ . They are separated by $5 k m$ . What is the speed of car moving in the opposite direction if it meets the two cars at an interval of $4$ minute:

60 k m p h

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5 k m p h

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30 k m p h

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45 k m p h

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Solution

The correct option is A $45 k m p h$
Speed of opposite moving car w.r.t. ground $= v_{0}$ relative speed of car moving opposite w.r.t. these two is :-
$v_{r} = v_{0} - (- 30) = v_{0} + 30$
$(v_{0} + 30) \times \frac{4}{60} = 5$
$v_{0} + 30 = 75$
$\Rightarrow v_{0} = 45 k m / h$

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