Question

Перший насос наповнюэ басейн за 20 хв а другый за 30.За який час наповнять басейн обидва насочи працюючи разом

Answer 1

При совместной работе насосов их производительность суммируется: 1/20+1/30,3=50,3/606≈1/12,048.

Ответ: бассейн наполнится за 12,048 хв.

Answer 2

Пусть бассейн будет 1200л, тогда производительность первого насоса
1200/20=60 л/мин
второго
1200/30=40 л/мин
вместе
60+40=100 л/мин
заполнят
1200/100=12 мин
Ответ: оба насоса заполнят бассейн за 12 минут.

Answer 3

Calculating the Time to Fill the Pool with Two Pumps Working Together

To calculate the time it takes for both pumps to fill the pool together, we can use the concept of work done. The rate of work of each pump can be represented by the inverse of the time it takes for each pump to fill the pool.

- The first pump fills the pool in 20 minutes, so its rate of work is 1 pool per 20 minutes, or 1/20 pool per minute. - The second pump fills the pool in 30 minutes, so its rate of work is 1 pool per 30 minutes, or 1/30 pool per minute.

Combined Rate of Work

When both pumps are working together, their rates of work are additive. Therefore, the combined rate of work when both pumps are working together is:

Combined rate of work = Rate of work of first pump + Rate of work of second pump

Combined rate of work = 1/20 + 1/30

Calculating the Time

To find the time it takes for both pumps to fill the pool together, we can use the formula:

Time = Amount of work / Combined rate of work

In this case, the amount of work is 1 pool (the entire pool), and the combined rate of work is 1/20 + 1/30.

Calculation

Let's calculate the time it takes for both pumps to fill the pool together:

Time = 1 / (1/20 + 1/30)

Time = 1 / (3/60 + 2/60)

Time = 1 / (5/60)

Time = 60 / 5

Time = 12 minutes

Therefore, both pumps working together will fill the pool in 12 minutes.