# Two boats are moving towards each other. Now there are 25 km between them. The speed of one of them is 7/8

**Two boats are moving towards each other. Now there are 25 km between them. The speed of one of them is 7/8 of the speed of the other. Find the speed of each boat if it is known that they will meet in 5/12 hours.**

The solution of the problem:

1. х km / h – speed of the first boat.

7 / 8x km / h – speed of the second boat.

5/12 * x – the length of the path of the first boat to the meeting.

5/12 * 7 / 8x – the length of the path of the second boat to the meeting.

2. Let’s compose and solve the equation.

5 / 12x + 5/12 * 7 / 8x = 25;

5x / 12 + 35x / 96 = 25;

8 * 5x + 35x = 25 * 96;

75x = 2400;

x = 32 km / h.

The speed of the first boat is 32 km / h.

3. Determine the speed of the second boat.

7/8 * 32 = 28 km / h.

Answer: the speed of the first boat is 32 km / h, and the second is 28 km / h.