# Need Help with a simple algebra problem

• Jun 18th 2010, 11:22 AM
grigorr
Need Help with a simple algebra problem
Unfortunately I suck at simple word problems like this, even though the solution for this problem will probably be very simple, but here it goes:

"If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?"

The answer is two hours and twenty four minutes; I just don't know how to get this answer. Please, someone help!!!(Crying)
• Jun 18th 2010, 11:26 AM
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Quote:

Originally Posted by grigorr
Unfortunately I suck at simple word problems like this, even though the solution for this problem will probably be very simple, but here it goes:

"If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?"

The answer is two hours and twenty four minutes; I just don't know how to get this answer. Please, someone help!!!(Crying)

In an hour, Sally paints 1/4 of a house and John paints 1/6 of a house. Add them and get 5/12 of a house per hour working together. 1 house divided by 5/12 houses/hour equals 12/5 = 2 + 2/5 = 2 hours 24 minutes.