find the speed of two objects such that when they move uniformly towards each other ,they get 4.0 meters closer each second and when they move uniformly in the same direactions with origiinal speeds they get 4.0 meters closer each 10 sec .

Explanation

Let their speeds be ` v_1 and v_2` and let `v_1 gt v_2 `
in first case :
Relative case :
Relative velocity ,` v_1+v_2 =4` …… (1)
In second case :
Relative velocity ` v_t - v_2 = (4)/(10 ) = 0.4 `
Solving equs (1) and (2) we get `v_1 = 2.2 ms^(-1) , v_2 = 1.8 ms^(-1)`