# SOLUTION: Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together? they could mow the lawn in ????

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together? they could mow the lawn in ????      Log On

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 Question 346078: Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together? they could mow the lawn in ????Answer by stanbon(57953)   (Show Source): You can put this solution on YOUR website! Jack usually mows his lawn in 5 hours. Mary can mow the same yard in 3 hours. how much time would it take for them to mow the lawn together? they could mow the lawn in ???? ----------------- Jack rate: 1/5 job/hr Mary rate: 1/3 job/hr --- Together rate: 1/x job/hr ----------------------------- Equation: rate + rate = together rate 1/5 + 1/3 = 1/x ---- 3x + 5x = 15 8x = 15 x = 15/8 = 1 7/8 hr --- 1 7/8 hr = 1hr (7/8)60 min = 1hr 52.5 minutes (time together) ========================= Cheers, Stan H. ==================