Question

Через первую трубу водоем можно наполнить за 15ч, а через вторую 30ч. За сколько часов наполнится водоем при совместной работе этих труб?

Answer 1

Ответ:

1/15+1/30=3/30=1/10
1:1/10=10
Ответ : 10 часов

Пошаговое объяснение:

Answer 2

Solution:

To find out how long it will take to fill the reservoir when both pipes are working together, we can use the concept of work done by each pipe in a unit of time.

Let's denote the rate of work for the first pipe as R1 and the rate of work for the second pipe as R2.

Given: - The first pipe fills the reservoir in 15 hours. - The second pipe fills the reservoir in 30 hours.

We can calculate the rates of work for each pipe using the formula: Rate = Work / Time

For the first pipe: R1 = 1/15 (as it fills the reservoir in 15 hours)

For the second pipe: R2 = 1/30 (as it fills the reservoir in 30 hours)

When both pipes are working together, their rates of work are additive: Combined Rate = R1 + R2

Let's calculate the combined rate and then find the time it takes to fill the reservoir when both pipes are working together.

Calculation:

The combined rate of work for both pipes: Combined Rate = 1/15 + 1/30

Simplify the combined rate: Combined Rate = 2/30 + 1/30 = 3/30 = 1/10

So, the combined rate of work for both pipes is 1/10.

Now, to find the time it takes to fill the reservoir when both pipes are working together, we can use the formula: Time = Work / Rate

Given that the work is to fill the reservoir completely (which is 1 unit of work), we can calculate the time: Time = 1 / (1/10) = 10 hours

Answer:

The reservoir will be filled in 10 hours when both pipes are working together.