Problema Solution

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find x, the amount of time it would take for Bethany and Colin to mow the lawn together?

Answer provided by our tutors

the rate of Bethany is: 1/4 lawns per hour


the rate of Colin is: 1/3 lawns per hour


the together rate is: 1/x lawns per hour


1/4 + 1/3 = 1/x


by solving we find:


x = 12/7


x = 1 5/7 hr


x = 1 hr 5*60/7


x = 1 hr 43 min


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Bethany and Colin need 1 hour and 43 minutes to mow the lawn together.