Rate of decrease in distance between two objects moving with certain speed towards each other is 6 m/s and rate of decrease decrease in distance between those objects with same speed when move in some direction is 4 m/s. Then the speeds of objects are .......

Rate of decrease in distance between two objects moving with certain s

1.	Rate of decrease in distance between two objects moving with certain speed towards each other is 6 m/s and rate of decrease decrease in distance between those objects with same speed when move in some direction is 4 m/s. Then the speeds of objects are .......
Answer» `5 m//s, 1m//s` `4m//s, 2 m//s` `4m//s, 1m//s` `5 m//s, 2 m//s` Solution :Suppose speed of OBJECT 1 is `v_(1)` and that of object 2 is `v_(2),` also `v _(1) gt v _(2).` If v is relative speed when they re moving in same direction, then `v = v _(1) + v _(2) ` `THEREFORE 6= v _(1) + v _(2) ""…(1)` If v. is relative speed when they are moving in same direction, then `v. = v _(1) -v _(2)` `therefore 4= v _(1) -v _(2) ""...(2)` By adding equation (1) & (2), `10 = 2v _(1) implies v _(1) = 5m//s` From equation (2), `v _(1) = 5m//s`