Two Cars Are Moving In The Same Direction With The Same Speed 30 km/hr.They Are Separated By A Distance Of 5 km. What Is The Speed Of A Car Moving In The Opposite Direction If It Meets These Two Cars At An Interval Of 4 Minute?

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Question

Two cars are moving in the same direction with the same speed 30 km/hr.They are separated by a distance of 5 km. What is the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minute?

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Solution

Correct option is

45 km/hr

As the two cars (say A and B) are moving with same velocity the

relative velocity of one (say B) with respect to the other, A,

So, the relative separation between them (= 5 km) always remains the same.

Now if the velocity of the car (say C), moving in opposite direction to Aand B is relative to ground, then the velocity of car C relative to A andB will be

But as is opposite to v_C

So, the time taken by it to cross the cars A and B,

or v_C = 45 km/h