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zysi [14]
3 years ago
9

Steve takes 6 hours to get the yard work done by himself. If Bill works alone, it takes him 10 hours. How long would it take the

m working together to do all of the yard work?
Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0
How much work is done in an hour by each:
s = 1/6 of the yard in one hourb = 1/10 of the yard in an hour
working together they can do:
1/6 + 1/10 in an hour; or 16/60; we can invert this number to determine how long it takes to finish the yard
60/16 hours

=3 hours and 45 minutes

Ghella [55]3 years ago
3 0

Answer:

In 3 hour 45 minutes Both working together do all of yard work.

Step-by-step explanation:

Time taken by Steve to do yard work = 6 hours

Work Done by Steve in a hour = \frac{1}{6}

Time taken by Bill to do yard work = 10 hours

Work Done by Steve in a hour = \frac{1}{10}

Work done by both in a hour = \frac{1}{6}+\frac{1}{10}=\frac{5+3}{30}=\frac{8}{30}=\frac{4}{15}

Time taken by by both working together = \frac{1}{\frac{4}{15}}=\frac{15}{4}=3.75=3\,hour\,45\,minutes

Therefore, In 3 hour 45 minutes Both working together do all of yard work.

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