Question

Решить с помощью букв. заранее спасибо.Шесть насосов выкачивают всю воду из бассейна за 10 часов.а)сколько надо таких же насосов, чтобы выкачать воду из этого бассейна за 5 ч?за 15 ч ?б)За какое время выкачают всю воду из этого бассейна 3 такихже насоса? 9 таких же насосов?​

Answer 1

Problem Analysis

We are given that six pumps can drain the entire pool in 10 hours. We need to determine the following:

a) How many pumps are needed to drain the pool in 5 hours and in 15 hours? b) How long will it take for 3 pumps and 9 pumps to drain the entire pool?

Solution

a) To determine how many pumps are needed to drain the pool in 5 hours, we can set up a proportion. Let's assume that x represents the number of pumps needed.

The proportion can be set up as follows:

6 pumps / 10 hours = x pumps / 5 hours

To solve for x, we can cross-multiply and then divide:

6 * 5 = 10 * x

30 = 10x

Dividing both sides by 10, we find:

x = 3

Therefore, we would need 3 pumps to drain the pool in 5 hours.

To determine how many pumps are needed to drain the pool in 15 hours, we can set up another proportion:

6 pumps / 10 hours = x pumps / 15 hours

Using the same method as before, we find:

x = 9

Therefore, we would need 9 pumps to drain the pool in 15 hours.

b) To determine how long it would take for 3 pumps to drain the pool, we can set up another proportion:

6 pumps / 10 hours = 3 pumps / x hours

Solving for x, we find:

x = 20

Therefore, it would take 3 pumps 20 hours to drain the pool.

To determine how long it would take for 9 pumps to drain the pool, we can set up another proportion:

6 pumps / 10 hours = 9 pumps / x hours

Solving for x, we find:

x = 6.67

Therefore, it would take 9 pumps approximately 6.67 hours to drain the pool.

Summary

To summarize: a) To drain the pool in 5 hours, we would need 3 pumps. To drain the pool in 15 hours, we would need 9 pumps. b) It would take 3 pumps approximately 20 hours to drain the pool. It would take 9 pumps approximately 6.67 hours to drain the pool.

Please let me know if there is anything else I can help you with!