Two objects are moving in the same direction along the same straight line. Object A has a velocity of 10 m/s, and object B has a velocity of 15 m/s. Object B is 50 m behind object A. How long will it take for object B to catch up with object A?

Core Concept

The relative velocity of B with respect to A is 15 m/s - 10 m/s = 5 m/s. To cover the 50 m gap at this relative velocity, time = distance/relative velocity = 50 m / 5 m/s = 10 s. Option A is incorrect as it would be the result if we used the sum of velocities instead of the difference. Option B is incorrect as it would be the result if we used the velocity of A alone. Option D is incorrect as it would be the result if we used the velocity of B alone.