asked 60.5k views
5 votes
It takes Bill 8 hours to paint a house. It take Paul 4 hours to paint a house. And it takes Quincy 9 hours to paint a house. How many hours would it take them working together?

asked
User Khernik
by
8.3k points

1 Answer

3 votes

Answer:

2 2/35 hours

Explanation:

In 1 hour, the total amount of the house that is painted is ...

1/8 + 1/4 + 1/9 = 35/72 . . . of a house

We need to multiply the time (1 hour) by 72/35 to find the number of hours required for one entire house:

72/35(1 h) = 2 2/35 h

It would take them 2 2/35 hours to paint the house working together.

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