Question

Если открыть одновременно первую и вторую трубы то пустой бассейн наполнился за 10 часов. одна вторая труба наполняет пустой бассейн за 15 часов.за сколько часов наполнит пустой бассейн одна первая труба ?решить в 2-3действиях

Answer 1

Весь бассейн 1
1/10 бассейна в час вместе
1/15 бассейна в час вторая труба
1/10-1/15=(3-2)/30=1/30 бассейна в час одна первая труба
1:1/30=30часов наполнит бассейн одна первая труба

Answer 2

Problem Analysis

We are given two pipes, and we need to determine how long it will take for the first pipe to fill an empty pool. We know that if both pipes are opened simultaneously, the empty pool will be filled in 10 hours. We also know that the second pipe alone can fill the empty pool in 15 hours.

Solution

To solve this problem, we can use the concept of rates. Let's assume that the first pipe can fill the pool at a rate of x units per hour, and the second pipe can fill the pool at a rate of y units per hour.

If both pipes are opened simultaneously, they can fill the pool in 10 hours. This means that the combined rate of both pipes is equal to the capacity of the pool divided by the time taken to fill it:

x + y = pool_capacity / 10 (Equation 1)

We also know that the second pipe alone can fill the pool in 15 hours. This means that the rate of the second pipe is equal to the capacity of the pool divided by the time taken to fill it:

y = pool_capacity / 15 (Equation 2)

To find the rate of the first pipe, we can substitute Equation 2 into Equation 1:

x + (pool_capacity / 15) = pool_capacity / 10

Simplifying the equation:

x = (pool_capacity / 10) - (pool_capacity / 15)

Now, we can solve for the time it takes for the first pipe to fill the pool by using the rate of the first pipe:

time = pool_capacity / x

Let's calculate the time it takes for the first pipe to fill the pool.

Calculation

Since we don't have the specific values for the pool capacity, we can solve the problem using variables. Let's assume the pool capacity is C.

Substituting the values into the equations:

x = (C / 10) - (C / 15)

Simplifying the equation:

x = (3C - 2C) / 30

x = C / 30

Now, we can calculate the time it takes for the first pipe to fill the pool:

time = C / x

Substituting the value of x:

time = C / (C / 30)

Simplifying the equation:

time = 30

Therefore, it will take the first pipe 30 hours to fill the empty pool.

Answer

The first pipe will fill the empty pool in 30 hours.