Question

Собака гонится за кроликом, находящимся от нее в 150 футах( фут-старинная англ.мера длинны, равная средней длине стопы человека). Она делает прыжок в 9 футов каждый раз, когда кролик делает прыжок в 7 футов. Сколько прыжков должна сделать собака, чтобы догнать кролика?

Answer 1

9 футов-7 футов=2 фута (дальше прыгает собака)
150 футов:2 фута=75 (прыжков)
Ответ: собака догонит кролика за 75 прыжков

Answer 2

75. С каждым прыжком собака сокращает расстояние на 2 фута. 150/2=75

Answer 3

Problem Analysis

We are given that a dog is chasing a rabbit, and the rabbit is 150 feet ahead of the dog. The dog jumps 9 feet each time, while the rabbit jumps 7 feet each time. 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 an equation to represent the distance covered by the dog and the rabbit after each jump. Let's assume that the number of jumps made by the dog is represented by x.

After x jumps, the distance covered by the dog is 9x feet, and the distance covered by the rabbit is 150 + 7x feet.

To find the number of jumps needed for the dog to catch up to the rabbit, we need to solve the equation 9x = 150 + 7x.

Simplifying the equation, we get 2x = 150.

Dividing both sides of the equation by 2, we find that x = 75.

Therefore, the dog needs to make 75 jumps to catch up to the rabbit.

Answer

The dog needs to make 75 jumps to catch up to the rabbit.

Explanation

After each jump, the dog covers a distance of 9 feet, while the rabbit covers a distance of 7 feet. Since the rabbit is initially 150 feet ahead of the dog, the dog needs to make enough jumps to cover this distance. By setting up an equation and solving for the number of jumps, we find that the dog needs to make 75 jumps to catch up to the rabbit.

Example Calculation

Let's verify the solution with an example calculation.

After 1 jump: - Distance covered by the dog: 9 feet - Distance covered by the rabbit: 150 + 7 = 157 feet

After 2 jumps: - Distance covered by the dog: 9 + 9 = 18 feet - Distance covered by the rabbit: 150 + 7 + 7 = 164 feet

...

After 75 jumps: - Distance covered by the dog: 9 * 75 = 675 feet - Distance covered by the rabbit: 150 + 7 * 75 = 675 feet

As we can see, after 75 jumps, the dog has covered the same distance as the rabbit, which means it has caught up to the rabbit.

Conclusion

The dog needs to make 75 jumps to catch up to the rabbit, assuming the dog jumps 9 feet each time and the rabbit jumps 7 feet each time.