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sunny644
17.08.2019 •
Mathematics
An inlet pipe can fill a swimming pool in 9 hours and an outlet pipe can empty the pool in 12 hours. through an error, both pipes are left open. how long will it take to fill te pool?
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Ответ:
36 hours.
Step-by-step explanation:
Let x represent time taken by both pipes to fill the tank.
We have been given that an inlet pipe can fill a swimming pool in 9 hours. So part of pool filled by inlet pipe in one hour would be
.
We are also told that an outlet pipe can empty the pool in 12 hours. The part of pool emptied by outlet pipe in one hour would be
.
Sine the time taken by both pipes to fill the tank is x hours, so part of pool filled by both pipes in one hour would be
.
We will get an equation using our given information as:
Let us solve for x.
Cross multiply:
Therefore, it will take 36 hours for both pipes to fill the tank.
Ответ: