SOLUTION: "A HOSE can fill a swimming pool in 6 hours. Another HOSE needs three more hours than the two HOSES combined. How long would it take for the second PIPE to fill the tank?

Question 547151: "A HOSE can fill a swimming pool in 6 hours. Another HOSE needs three more hours than the two HOSES combined. How long would it take for the second PIPE to fill the tank?
Found 2 solutions by Edwin McCravy, richwmiller:
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
A hose can fill a swimming pool in 6 hours. Another hose needs three more hours than the two hoses combined. How long would it take for the second pipe to fill the tank?

Make this chart: Number of Hours Rate swimming Required in pools filled to fill pools/hr 1st hose 2nd hose both combined Let x be the number of hours required for the 2nd hose. Fill that in for the time for the second hose, and fill in the given 6 hours for the 1st hose. Number of Hours Rate swimming Required in pools filled to fill pools/hr 1st hose alone 6 2nd hose alone x both combined

>>...Another hose needs three more hours than the two hoses combined...<<

Let's re-interpret that as:

>>...The two hoses combined takes three hours less than the 2nd hose alone...<<

So we fill in x-3 for the hours for them combined: Number of Hours Rate swimming Required in pools filled to fill pools/hr 1st hose alone 6 2nd hose alone x both combined x-3 In each case exactly 1 pool was filled, so put 1 for the number of swimming pools filled in each case: Number of Hours Rate swimming Required in pools filled to fill pools/hr 1st hose alone 1 6 2nd hose alone 1 x both combined 1 x-3 Fill in the rates in pools/hr by dividing pools filled by hours: Number of Hours Rate swimming Required in pools filled to fill pools/hr 1st hose alone 1 6 2nd hose alone 1 x both combined 1 x-3 The equation comes from: + = + = Solve that and get 6 hours Edwin

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
It is a hose or pipe? Make up your mind!
x/6+x/y=1
y=3+x
x=3
y=6
three hours together and each of them take 6 hours alone

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