A hose can fill a pool in 4 hours. A second hose can fill the same pool in x hours. Working together, the...

Question

13. A hose can fill a pool in 4 hours. A second hose can fill the same pool in x hours. Working together, the hoses fill the tank in 2 hours. Find the value of x.
a. 2 minutes
b. 6 minutes
c. 8 minutes
d. 4 minutes

SnapAndSolve AI · Accepted Answer

Let the rate of the first hose be 1/4 pools per hour, and the rate of the second hose be 1/x pools per hour. Together, their rate is 1/2 pools per hour.

Set up the equation:
1/4 + 1/x = 1/2

Multiply through by 4x to clear the fractions:
x + 4 = 2x

Solve for x:
x = 4

The value of x is 4 hours.

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A hose can fill a pool in 4 hours. A second hose can fill the same pool in x hours. Working together, the...

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