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sladkih [1.3K]
3 years ago
7

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
Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
The answer is <span>twelve sevenths (12/7)
</span>
x - the job<span>
t - time to do the job x

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

</span><span>If they work together, the total work will be the sum of their speeds:
</span>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
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