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.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.