Two bodies move towards each other and the distance between them decreases by 16 m for every 10 s.

Two bodies move towards each other and the distance between them decreases by 16 m for every 10 s. If these bodies move in one direction with the same speeds, then the distance between them increases by 3 m for every 5 s. Find the speed of each body

1.The speed of convergence of bodies:
V1 + V2 = 16/10 = 1.6 m / s
2. Speed of removal of bodies:
V1 – V2 = 3/5 = 0.6 m / s
3. Let’s express V1 through V2:
V1 = 0.6 + V2
4. Substitute in the first equation:
0.6 + V2 + V2 = 1.6
2V2 = 1.6 – 0.6 = 1.0
V2 = 1/2 = 0.5 m / s
5. Find V1:
V1 = 0.6 + 0.5 = 1.1 m / s
Answer: The speed of the first body is 1.1 m / s, and the second is 0.5 m / s.