Question

В бассейн проведены 2 трубы: через первую трубу втекает 50 ведер в минуту, а через вторую вытекает 960 ведер в час. Если открыть обе трубы,то бассейн наполнится через 15 часов. Вместимость бассейна ( в ведрах) составляет: 1, 510 2, 30600 3, 275 4, 450 5, 16500

Answer 1

50*60=3000ведер в час через 1 трубу
3000-960=2040ведер в минуту наливаются в бассейн
2040*15=30600ведер объем бассейна

Answer 2

960÷60=16 50-16=34 34×60=2040 15×2040=30600      2

Answer 3

Problem Analysis

We are given information about two pipes connected to a pool. The first pipe fills the pool at a rate of 50 buckets per minute, while the second pipe drains the pool at a rate of 960 buckets per hour. We need to determine how long it will take to fill the pool if both pipes are open.

Solution

To solve this problem, we can use the concept of rates and proportions. Let's break down the information given:

- The first pipe fills the pool at a rate of 50 buckets per minute. - The second pipe drains the pool at a rate of 960 buckets per hour. - If both pipes are open, it takes 15 hours to fill the pool.

To find the combined rate at which the pool is being filled, we need to convert the rate of the second pipe from buckets per hour to buckets per minute. Since there are 60 minutes in an hour, the rate of the second pipe is 960/60 = 16 buckets per minute.

Now, we can set up a proportion to find the time it takes to fill the pool when both pipes are open:

(50 buckets/minute + 16 buckets/minute) / 1 pool = 1 pool / 15 hours

Simplifying the proportion, we get:

(66 buckets/minute) / 1 pool = 1 pool / 15 hours

To find the time it takes to fill the pool, we can cross-multiply and solve for the unknown:

66 buckets/minute * 15 hours = 1 pool * 1 pool

990 buckets/hour * 15 hours = 1 pool * 1 pool

14,850 buckets = 1 pool * 1 pool

Therefore, the capacity of the pool is 14,850 buckets.

Answer

The capacity of the pool is 14,850 buckets.