Two cars A and B are moving in same direction with a speed of 30km per hr. They are separated from each other by 5 km. Third car moving in the opposite direction meets the two cars after an interval of 4 mins. The speed of third car is ? ( use relative velocity to solve the problem)

1. 30km per hr

2. 25km per hr

3. 40km per hr

4. 45km per hr

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Solution

This is a question related to relative motion, here is the answer :-
let the two cars moving in same direction be A and B and the third car be C.
let the velocity of C be 'u'.
so velocity of C with respect to B would be. u+30(as they are moving in opposite directions).

do the speed u+30 would be given by
5/(4÷60) = u+30
5×60/4= u+30
75 = u+30
hence u = 45 kmph

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