Find the speed of two objects if when they move uniformly towards each other, they get 4.0 metres closer each second and when they move uniformly in the same direction with original speeds, they get 4.0 metres closer each 10 sec.

Find the speed of two objects if when they move uniformly towards each

1.	Find the speed of two objects if when they move uniformly towards each other, they get 4.0 metres closer each second and when they move uniformly in the same direction with original speeds, they get 4.0 metres closer each 10 sec.
Answer» SOLUTION :Let their SPEEDS be `v_(1)` and `v_(2)` and let `v_(1)gt v_(2)`. In First Case : relative VELOCITY, `v_(1) + v_(2) = 4` …..(1) In SECOND Case : Relative velocity, `v_(1) - v_(2) = (4)/(10) = 0.4` ….(2) Solving eqns. (1) and (2), we get `v_(1) = 2.2 MS^(-1), v_(2) = 1.8 ms^(-1)`