Question

При совместном действии двух насосов разной мощности бассейн заполняется за 5 часов. только первый насос наполняет этот бассейн за 8 часов. Какую часть бассейна наполняет только второй насос за 2 часа?​

Answer 1

Ответ:

Задача на производительность труда:

(1/8)+(1/х)=1/5

То есть два насоса вместе равносильны одному, наполняющему бассейн за 5 часов

Отсюда:

(5/40)+(1/х)=(8/40)

1/х=3/40

3х=40

х=13⅓ часов - за это время второй насос в одиночку заполнит бассейн

За 2 часа он наполнит (2/13⅓)=(6/40)=0.15 часть бассейна или 15% от всего объема воды

Answer 2

Problem Analysis

We are given that two pumps of different power are used to fill a swimming pool. The first pump can fill the pool in 8 hours, and when both pumps are used together, the pool is filled in 5 hours. We need to determine what fraction of the pool can be filled by the second pump alone in 2 hours.

Solution

Let's assume that the first pump can fill the entire pool in 1 hour. In that case, the second pump would take 8 hours to fill the pool alone.

Since the first pump can fill the pool in 8 hours, it can fill 1/8th of the pool in 1 hour.

When both pumps are used together, they can fill the pool in 5 hours. This means that in 1 hour, they can fill 1/5th of the pool.

To find the fraction of the pool that the second pump can fill in 2 hours, we need to find the ratio of the time it takes for the second pump to fill the pool alone (8 hours) to the time it takes for both pumps to fill the pool (5 hours).

The fraction can be calculated as follows:

Fraction filled by the second pump in 2 hours = (Time taken by the second pump alone) / (Time taken by both pumps together) = 8 / 5

Therefore, the second pump can fill 8/5 or 1.6 times the fraction of the pool in 2 hours.

Answer

The second pump can fill 1.6 times the fraction of the pool in 2 hours.