Question

Two cats started to run at the same time from the same point in the same direction, but one was running twice as fast as the other. 50 minutes later, the cats were 750 meters apart. Find the speed of each cat.

Answer 1

Let's assume that the slower cat's speed is x meters per minute. Since the faster cat is running twice as fast, its speed will be 2x meters per minute.

Since the cats are running in the same direction, the distance between them increases at a rate of the difference between their speeds, which is 2x - x = x meters per minute.

We know that 50 minutes after they started, the distance between the cats was 750 meters. Therefore, we can write the following equation:

Distance = Speed x Time

750 = x * 50

Simplifying the equation, we get:

x = 15

Therefore, the slower cat's speed is 15 meters per minute. The faster cat's speed is 2x = 2 * 15 = 30 meters per minute.