# SOLUTION: It takes a boy 60 minutes to mow the lawn, but his sister can mow it in 90 minutes. How long would it take them to mow the lawn if they worked together, using two lawn mowers?

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: It takes a boy 60 minutes to mow the lawn, but his sister can mow it in 90 minutes. How long would it take them to mow the lawn if they worked together, using two lawn mowers?      Log On

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 Click here to see ALL problems on Rate-of-work-word-problems Question 340842: It takes a boy 60 minutes to mow the lawn, but his sister can mow it in 90 minutes. How long would it take them to mow the lawn if they worked together, using two lawn mowers?Answer by stanbon(57240)   (Show Source): You can put this solution on YOUR website! It takes a boy 60 minutes to mow the lawn, but his sister can mow it in 90 minutes. How long would it take them to mow the lawn if they worked together, using two lawn mowers? ------------------ boy rate = 1/60 job/min girl rate= 1/90 job/min --- together rate = 1/x job/min ========================== Equation: rate + rate = together rate 1/60 + 1/90 = 1/x Multiply thru by 180x to get: 3x + 2x = 180 5x = 180 x = 36 minutes (time to mow together) ============== Cheers, Stan H.