Robin can mow a lawn in 3 hours, while Brady can mow the same lawn in 4 hours. How many hours would it take for them to mow the lawn together?


seven twelfths


twelve sevenths


7


12

Verified Answer :

The answer is twelve sevenths (12/7)

x - the job

t - time to do the job x

Robin can mow a lawn in 3 hours: x/3 t
Brady can mow the same lawn in 4 hours: x/4 t

If they work together, the total work will
be the sum of their speeds:
x = x/3 t + x/4 t = (x/3 + x/4)t = (4x/12 + 3x/12) t = 7x/12 t

x = 7x/12
t

Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7