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aliya0001 [1]
3 years ago
9

Mike can plow a field in 12 hours and his brother Phil can plow it in 15 hours. How long will it take them to plow it if they us

e two plows and work together?
Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Answer:

6.66 hours, that is, 6 hours and 40 minutes.

Step-by-step explanation:

If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.

If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.

So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:

(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66

So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.

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