Q: When two object move uniformly towards each other, they get 4 meters closer each second and when they move uniformly in the same direction with original speed, they get 4 meters closer each 5s. Find their individual speeds.

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Sol. Let their speeds be v

_{1}and v_{2}andLet v_{1} > v_{2}

In first case :

Relative velocity, v_{1} + v_{2} = 4/1 = 4m/s …(1)

In Second case:

Relative velocity = v_{1} – v_{2} = 4/5 = 0.8 m/s …(2)

Solving eqns. (1) and (2), we get

v_{1} = 2.4 m/s),v_{2} = 1.6 m/s .