Question

Два крана наполняют бассейн за 48 часов.Первый наполняет бассейн за 72 часа.За сколько часов наполнит бассейн второй кран,если будет работать один?

Answer 1

72-48=24 ч разница часов время, работы второго крана в паре
48+24=72 ч работа второго крана 
Ответ: второй кран наполнит бассейн за 72 ч

Answer 2

Problem Analysis

We are given that two taps can fill a pool in 48 hours, and the first tap alone can fill the pool in 72 hours. We need to determine how long it will take for the second tap to fill the pool if it works alone.

Solution

Let's assume that the second tap can fill the pool in x hours when working alone.

To solve this problem, we can use the concept of work. The work done by the first tap in 1 hour is 1/72 of the pool, and the work done by the second tap in 1 hour is 1/x of the pool. The combined work of both taps in 1 hour is 1/48 of the pool.

Using this information, we can set up the following equation:

1/72 + 1/x = 1/48

To solve for x, we can multiply both sides of the equation by the least common multiple (LCM) of 72, 48, and x, which is 1728x. This gives us:

24x + 36(1728) = 36x

Simplifying the equation:

36(1728) = 12x

x = (36 * 1728) / 12

x = 5184 / 12

x = 432

Therefore, it will take the second tap 432 hours to fill the pool if it works alone.

Answer

If the second tap works alone, it will take 432 hours to fill the pool.