An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 20 ho
urs. If the pool is 
filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
_____________ hours
_____________ hours
2 answers:
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Answer:
Step-by-step explanation:
To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.
is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.
We can use Pythagorean's Theorem to find the hypotenuse (let represent the length of the hypotenuse):
Thus, we know the adjacent is 10, and the hypotenuse is . This means
.
Hope this helps!