Question

Бассейн наполняется 1 трубой за 5часов а через 2 трубу за 6 часов.Сколько времени будет наполнятся бассейн если они будут работать вместе?

Answer 1

Первая труба за один час заполняет 1\5 часть бассейна, вторая 1/6 часть. Поэтому за один час обе трубы заполнят 1/5+1/6 = 11/30 частей бассейна, а чтобы заполнить бассейн полностью, им понадобится, соответственно, 30/11 часа.
Ответ: 2 8/11 часа.

Answer 2

Calculating the Time to Fill the Pool

To calculate the time it takes to fill the pool when both pipes are working together, we can use the formula:

1 / T = 1 / T1 + 1 / T2

Where: - T is the time taken when both pipes are working together - T1 is the time taken by the first pipe - T2 is the time taken by the second pipe

Given: - Time taken by the first pipe (T1) = 5 hours - Time taken by the second pipe (T2) = 6 hours

We can substitute these values into the formula to find the time taken when both pipes are working together.

Calculation

Using the formula 1 / T = 1 / T1 + 1 / T2:

1 / T = 1 / 5 + 1 / 6

Now, let's solve for T.

Solution

1 / T = 1 / 5 + 1 / 6

1 / T = (6 + 5) / (5 * 6)

1 / T = 11 / 30

Now, to find T, we take the reciprocal of both sides:

T = 30 / 11

So, when both pipes are working together, the pool will be filled in approximately 2.727 hours.

This calculation is based on the formula for combining the rates of two pipes filling a pool simultaneously