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 v1 and v2 and
Let v1 > v2
In first case :
Relative velocity, v1 + v2 = 4/1 = 4m/s …(1)
In Second case:
Relative velocity = v1 – v2 = 4/5 = 0.8 m/s …(2)
Solving eqns. (1) and (2), we get
v1 = 2.4 m/s),v2 = 1.6 m/s .