Question

Собака гонится за кроликом, который находится В 150 футов от неё (фут – это старинная мера длины, равная примерно 30,5 см). Собака делает прыжок в девять футов Каждый раз, когда кролик приедет на семь футов. Сколько прыжков должна сделать собака, чтобы догнать кролика?

Answer 1

9-7=2 (фута) разность прыжков собаки и  кролика
150:2=75 (прыжков)
Ответ: собака догонит кролика за 75 прыжков

Answer 2

Problem Analysis

We are given that a dog is chasing a rabbit that is 150 feet away from it. The dog jumps 9 feet each time the rabbit moves 7 feet. We need to determine how many jumps the dog needs to catch up to the rabbit.

Solution

To solve this problem, we can set up a proportion to find the number of jumps the dog needs to catch up to the rabbit.

Let's assume the number of jumps the dog needs to catch up is represented by x.

The distance the dog jumps in x jumps is 9x feet.

The distance the rabbit moves in x jumps is 7x feet.

According to the problem, the rabbit is 150 feet away from the dog. Therefore, we can set up the following proportion:

9x / 7x = 150 / 1

To solve for x, we can cross-multiply and solve the resulting equation:

9x = 7x * 150

9x = 1050x

Dividing both sides of the equation by 9:

x = 1050 / 9

Simplifying the fraction:

x = 116.67

Since we cannot have a fraction of a jump, we can round up to the nearest whole number. Therefore, the dog needs to make 117 jumps to catch up to the rabbit.

Answer

The dog needs to make 117 jumps to catch up to the rabbit.