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Math Help - Algebra Word Problem Easy

  1. #1
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    Algebra Word Problem Easy

    I was never really able to solve this problem.
    Can you help me?
    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
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  2. #2
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    Quote Originally Posted by lightstevoo View Post
    I was never really able to solve this problem.
    Can you help me?
    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
    In 1 hour Sally paints 1/4 house.
    In 1 hour John paints 1/6 house.
    In 1 hour John and Sally paint 1/4 + 1/6 = ...... house. Therefore the whole house gets painted in ...... hours.
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  3. #3
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    Quote Originally Posted by lightstevoo View Post
    I was never really able to solve this problem.
    Can you help me?
    If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
    If they were painting different houses at the same time,

    Sally will have painted one and a half houses in 6 hours,
    while John will have painted one.

    Hence, they will have painted two and a half houses in 6 hours, while painting at the same time.
    That's 5 houses in 12 hours.

    So, it will take a fifth of that time to paint one house, working together.
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  4. #4
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    yea thanks i got it!
    1/4 + 1/6 = 1/x
    5 = 12/x
    x=12/5
    x= 2.4 hours
    which is aprproxamately 2 hours and 24 minutes!
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