# SOLUTION: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your so

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 Question 155353: If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution? Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? --------------- You DATA: time = 2 hr/job ; rate = 1/2 job/hr ---------------------- Spouse DATA: time = 3 hr/job ; rate = 1/3 job/hr ----------------------- Together DATA: time = x hr/job ; rate = 1/x job/hr ----------------------- EQUATION: rate + rate = together rate 1/2 + 1/3 = 1/x 5/6 = 1/x x = 6/5 = 1 1/5 hr = 1 hr. 12 minutes ======================================== Cheers, Stan H.