SOLUTION: A student can type a 32 page essay in three hours. The students friend can type the paper in two hours. If they work together how long would it take them to type the paper together

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Question 964060: A student can type a 32 page essay in three hours. The students friend can type the paper in two hours. If they work together how long would it take them to type the paper together?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = the rate of the student in papers/hour
Let f = the rate of the friend in papers/hour
s*3 = 1 paper
divide each side by 3
s = 1/3 paper per hour
f*2 = 1 paper
divide each side by 2
f = 1/2 paper per hour
Let t = the time to complete the paper
s*t + f*t = 1 paper
(1/3)t + (1/2)t = 1 paper
multiply each side by 6
2t + 3t = 6
5t = 6
divide by 5
t = 6/5 hours