Question

Первая труба заполняет бассейн за 50 минут, обе за 20 минут. Сможет ли вторая труба заполнить бассейн за 33 минуты?

Answer 1

50-20=30(мин)набирает вторая труба ответ можно остается 3 минуты

Answer 2

Problem Analysis

We are given information about two pipes filling a pool. The first pipe can fill the pool in 50 minutes, while both pipes together can fill the pool in 20 minutes. We need to determine if the second pipe alone can fill the pool in 33 minutes.

Solution

To solve this problem, we can use the concept of work rates. The work rate of a pipe is the amount of work it can do in a given unit of time. In this case, the work rate is measured in terms of the fraction of the pool that can be filled in a minute.

Let's assume that the work rate of the first pipe is x (fraction of the pool filled per minute) and the work rate of the second pipe is y (fraction of the pool filled per minute).

According to the given information: - The first pipe can fill the pool in 50 minutes, so its work rate is 1/50. - Both pipes together can fill the pool in 20 minutes, so their combined work rate is 1/20.

We can set up the following equation to represent the combined work rate of the two pipes: 1/50 + y = 1/20.

Now, we can solve this equation to find the value of y.

Calculation

Let's solve the equation to find the value of y:

1/50 + y = 1/20

To simplify the equation, we can multiply both sides by 100 to eliminate the fractions:

2 + 100y = 5

Now, we can isolate y by subtracting 2 from both sides:

100y = 3

Finally, we can solve for y by dividing both sides by 100:

y = 3/100 = 0.03

So, the work rate of the second pipe is 0.03 (fraction of the pool filled per minute).

Conclusion

Based on the calculations, the work rate of the second pipe is 0.03 (fraction of the pool filled per minute). Therefore, the second pipe alone will not be able to fill the pool in 33 minutes, as its work rate is lower than the combined work rate of both pipes.