SOLUTION: you are running water into a laundry sink to get a mixture that is one half hot water and one half cold water. The hot water flows more slowly, at a rate of 7.8 liters per minute,

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: you are running water into a laundry sink to get a mixture that is one half hot water and one half cold water. The hot water flows more slowly, at a rate of 7.8 liters per minute,       Log On

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Question 166290This question is from textbook algebra 1
: you are running water into a laundry sink to get a mixture that is one half hot water and one half cold water. The hot water flows more slowly, at a rate of 7.8 liters per minute, so you turn it on first. Two minutes later, you also turn on the cold water which flows at a rate of 12.3 liters per minute. You want to know how long to wait before turning the two faucets off. let t represent the number of minutes the hot water is on. Write a variable expression for the amount of time the cold water is on. This question is from textbook algebra 1

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
so if t is the number of minutes the hot water is on.
so hot water is 7.8(t)
cold water is 12.3(t-2)
these 2 must be equal as stated so 7.8t=12.3(t-2)--->7.8t=12.3t-24.6
so 4.5t=24.6
t=5.47
so hot water is on for 5.47min
and cold water is on for 3.47min (t-2)--->5.47-2