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If Sarah paints a room in 4 hours and sam paints the same room is 6 hours how long will it take for both to paint one room?
We know that Sally can paint the house by herself in four hours. Put another way, she can paint 1/4 of the house in an hour. Using similar logic, we know John paints at a rate of just 1/6 of a house per hour. If we convert those fractions to fractions with a common denominator, we have 3/12 of a house for Sally and 2/12 of a house for John, so together they can paint at a rate of 5/12 of a house per hour.
But that is not yet the answer to the question.
If you take the reciprocal of 5/12 houses per hour, you get 12/5 hours per house. That equals 2.4 hours per house. Converting to hours and minutes, you get 2 hours, 24 minutes -- because 0.4 hours equals 24 minutes. (0.4 hours x 60 minutes/hour = 24 minutes.)
Algebra
OR
Above answer of this question is right.but we can also define it some other way, in percentage. May be this solution make esay for some friends to understand.Silly tooks 4 hors to paint 100 % (full house).Jhon tooks 6 hours to paint 100 % (Full house).In an hoursilly can paint 25 % of house & Jhon can paint 16.66 % of house, so they both can paint 41.66 percent of house in an hour.so, if we divide (total required work) / (work they can do in an Hour)= 100 / 41.66we I'll get the total time to paint complete house.ANSWERS IS : 2.4 Hours or 2 hours 24 minutes.
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