Question

Бассейн наполняется первой трубой за 5 часов, а через вторую трубу он может бытт опорожнен за 6 часов . через сколько часов будет наполнен весь бассейн , если одновременно открыть обе трубы? Помогите пожалуйста срочно надо

Answer 1

1/5 наполняется за 1 час
1/6 вытекает за 1 час
1/5-1/6=1/30 при двух трубах за 1 час
1:1/30=30 часов на заполнение всего бассейна

Answer 2

Problem Analysis

We are given that the first pipe can fill the pool in 5 hours, and the second pipe can empty the pool in 6 hours. We need to determine how long it will take to fill the entire pool if both pipes are opened simultaneously.

Solution

To solve this problem, we can use the concept of rates. Let's assume that the pool has a capacity of 1 unit (for simplicity).

The first pipe can fill the pool in 5 hours, which means it can fill 1/5 of the pool in 1 hour. Similarly, the second pipe can empty the pool in 6 hours, which means it can empty 1/6 of the pool in 1 hour.

When both pipes are opened simultaneously, the net rate of filling the pool will be the difference between the filling rate of the first pipe and the emptying rate of the second pipe. Therefore, the net rate will be 1/5 - 1/6 of the pool per hour.

To find the time it takes to fill the entire pool, we can divide the pool's capacity (1 unit) by the net rate of filling the pool per hour.

Let's calculate the time it takes to fill the entire pool:

1. Net rate of filling the pool per hour = 1/5 - 1/6 = (6 - 5) / (5 * 6) = 1/30 of the pool per hour.

2. Time to fill the entire pool = 1 / (1/30) = 30 hours.

Therefore, if both pipes are opened simultaneously, it will take 30 hours to fill the entire pool.

Answer

If both pipes are opened simultaneously, it will take 30 hours to fill the entire pool.