SOLUTION: Twice the water flow in the hot-water pipe is the same as three times the flow in the cold water-pipe. The combined flow is 1300 L/h. What is the flow of each pipe?

Question 890810: Twice the water flow in the hot-water pipe is the same as three times the flow in the cold water-pipe. The combined flow is 1300 L/h. What is the flow of each pipe?

Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
x and y rates for hot pipe and cold pipe.
2x=3y and x+y=1300.
That translation from words into symbols is really all you need. Two linear equations in two unknowns.

Elimination:
2x+2y=2600 and 2x-3y=0;
2x+2y-(2x-3y)=2600-0
5y=2600
y=26*100/5
y=20*26
y=520 and x=1300-520
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