Question

через 2 крана бак наполнился за 6 мин.Если бы был открыт только первый кран, то бак наполнился бы за 15 минуты.За сколько минут наполнился бы бак через один второй кран? (срочно)

Answer 1

Ответ:

Пошаговое объяснение:

х - За сколько минут наполнился бы бак через один второй кран

V1 = 1/15  производительность первого крана

V2 = 1/x    производительность второго крана

V1+V2 = 1/6  производительность двух кранов

тогда

1/15  + 1/х = 1/6

1/х = 1/6  - 1/15  = (5 -  2)/ 30 = 1/10

1/х = 1/10

х = 10 минут.

Answer 2

Problem Analysis

We have two faucets or taps that can fill a tank. When both taps are open, the tank fills up in 6 minutes. If only the first tap is open, the tank fills up in 15 minutes. We need to determine how long it would take to fill the tank if only the second tap is open.

Solution

Let's assume that the capacity of the tank is 1 unit (it could be any unit of measurement).

When both taps are open, the tank fills up in 6 minutes. This means that the combined flow rate of both taps is 1/6 units per minute.

When only the first tap is open, the tank fills up in 15 minutes. This means that the flow rate of the first tap alone is 1/15 units per minute.

To find the flow rate of the second tap alone, we can subtract the flow rate of the first tap from the combined flow rate of both taps:

Flow rate of second tap = Combined flow rate - Flow rate of first tap = 1/6 - 1/15 = 5/30 - 2/30 = 3/30 = 1/10 units per minute.

Therefore, if only the second tap is open, the tank will fill up at a rate of 1/10 units per minute.

To find the time it takes to fill the tank when only the second tap is open, we can use the formula:

Time = Volume / Flow rate

Since the volume of the tank is 1 unit and the flow rate of the second tap is 1/10 units per minute, the time it takes to fill the tank when only the second tap is open is:

Time = 1 / (1/10) = 10 minutes.

Therefore, it would take 10 minutes to fill the tank if only the second tap is open.

Answer: The tank would fill up in 10 minutes if only the second tap is open.