SOLUTION: Hose A can fill a water tank in 14 hours, while Hose B can fill the same tank in 20 hours. How long will it take to fill the tank if both hoses are used? This needs to be written a
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-> SOLUTION: Hose A can fill a water tank in 14 hours, while Hose B can fill the same tank in 20 hours. How long will it take to fill the tank if both hoses are used? This needs to be written a
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Question 611009: Hose A can fill a water tank in 14 hours, while Hose B can fill the same tank in 20 hours. How long will it take to fill the tank if both hoses are used? This needs to be written as a linear equation.
What I have tried:
X= Hose A which fills 1/14 of the tank in an hour
Y= Hose B which fills 1/20 of the tank in an hour
X+Y= (14+20)/20*14= 34/280= 17/140
This is as far as I got but my answer would be 17 hours which is incorrect.
Thank you
You can put this solution on YOUR website! Hose A can fill a water tank in 14 hours, while Hose B can fill the same tank in 20 hours. How long will it take to fill the tank if both hoses are used? This needs to be written as a linear equation.
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A rate = 1/14 job/hr
B rate = 1/20 job/hr
Together rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/14 + 1/20 = 1/x
20x + 14x = 14*20
34x = 280
x = 8.24 hrs. = 8 hrs 14 minutes
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Cheers,
Stan H.
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