SOLUTION: Tap X can fill a tank in 10 minutes and tap Y can fill it in 15 minutes. How long will it take to fill the tank if both taps are on?

Question 604832: Tap X can fill a tank in 10 minutes and tap Y can fill it in 15 minutes. How long will it take to fill the tank if both taps are on?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tap X can fill a tank in 10 minutes and tap Y can fill it in 15 minutes. How long will it take to fill the tank if both taps are on?
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Tap X rate: 1/10 job/minute
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Tap Y rate: 1/15 job/minute
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Together rate: 1/x job/min
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Equation:
rate + rate = together rate
1/10 + 1/15 = 1/x
Multiply thru by 30x to get:
3x + 2x = 30
5x = 30
x = 6 minutes (time to fill the tank together)
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Cheers,
Stan H.
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