Sally does 1 job in 4 hours ===> 1/4th of the job per hour.
John does 1 job in 6 hours ===> 1/6th of the job per hour.
Working together, they do (1/4 + 1/6) = (3/12 + 2/12) = 5/12 job per hour.
The job takes 12/5 = 2.4 hours = 2hours24minutes to complete.
You don't need a formula. You need to understand where the answer comes from. If you understand where the answer comes from, you can write your own formula. If you don't, then a formula can be dangerous in your hands. -- Sally can paint 1/4 of the house in an hour. -- John can paint 1/6 of the same house in an hour. -- If they work together, then can paint (1/4 + 1/6) = 5/12 of the house in an hour. -- If they paint 5/12 of the house in an hour, then it takes them 12/5 hours to finish the job, or 2.4 hours, or 2hours 24minutes. Well, OK. Here's the formula: S = number of hours it takes Sally J = number of hours it takes John Number of hours it takes them working together = 1 / (1/S + 1/J)
Sally does a quarter of the house in an hour, John does one-sixth, so together they would do 5/12 in an hour, thus it would take 12/5 hours ie 2 hrs 24 min in theory. In practice, because of arguments it would probably take three hours plus!
144 minutes.
20 hours.
8 hrs a week
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 them to paint the house together?
In one hour Sally paints one quarter and John paints one sixth, between them they paint five twelfths per hour so would take 2 hours 24 minutes if they worked together. But have you ever known a male and a female to work harmoniously together? Allow at least three hours!
2 Hours & 24 minutes
You don't need a formula. You need to understand where the answer comes from. If you understand where the answer comes from, you can write your own formula. If you don't, then a formula can be dangerous in your hands. -- Sally can paint 1/4 of the house in an hour. -- John can paint 1/6 of the same house in an hour. -- If they work together, then can paint (1/4 + 1/6) = 5/12 of the house in an hour. -- If they paint 5/12 of the house in an hour, then it takes them 12/5 hours to finish the job, or 2.4 hours, or 2hours 24minutes. Well, OK. Here's the formula: S = number of hours it takes Sally J = number of hours it takes John Number of hours it takes them working together = 1 / (1/S + 1/J)
Sally does a quarter of the house in an hour, John does one-sixth, so together they would do 5/12 in an hour, thus it would take 12/5 hours ie 2 hrs 24 min in theory. In practice, because of arguments it would probably take three hours plus!
144 minutes.
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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