Problema Solution

jack usually mows his yard in 3 hours. Marilyn can mow the same yard in 4 hours. How much time will it take for them to mow the lawn together?

Answer provided by our tutors

Jack DATA:

time = 3 hrs/job ; rate = 1/3 job/hr

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Marilyn DATA:

time = 4 hrs/job ; rate = 1/4 job/hr

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Together DATA:

time = x hrs/job ; rate = 1/x job/hr

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Equation:

rate + rate = together rate

1/3 + 1/4 = 1/x

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4x + 3x = 12

7x = 12

x = 12/7 = 1.71 hrs (time to do the job together)