It takes 3 days for 4 people to paint 5 houses. how long will it take for 2 people to paint 6 houses.?

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  • Como
    Lv 7
    4 months ago

    People______houses_____days

    4____________5__________3

    2____________6__________2/4 x 6/5. x  3

    9/5 days

  • Amy
    Lv 7
    4 months ago

    It takes 3 days for 4 people to paint 5 houses.

    Thus, in 1 day 1 person paints 5/12 of a house.

    Painting 6 houses takes 6/(5/12) = 14.4 people x days.

    Painting 6 houses takes 2 people 7.2 days.

  • 4 months ago

     If it takes 3 days for 4 people to paint 5 houses. 

    it will take 3.6 days for 4 people to paint 6 houses and

    it will take 7.2 days for 2 people to paint 6 houses.

  • 5 months ago

    As per as my calculations they'll take 7 and a half day to paint 6 houses.

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  • 5 months ago

    work = rate * time

    Work is the number of houses.

    Rate is the rate of one person.  When multiple people work together, you add up the rates.

    You are told that 4 people paints 5 houses in 3 days, so this equation works out to be:

    w = rt

    5 = (4r) * 3

    we can then solve for r to get the rate of one person in terms of houses per day:

    5 = 12r

    5/12 = r

    How long will it take 2 people to paint 6 houses?

    w = rt

    w = 6, r = 2(5/12)  (two times the rate of one person), solve for the unknown:

    6 = 2(5/12)t

    6 = (5/6)t

    6(6/5) = t

    36/5 = t

    7.2 = t

    It will take 7.2 days.

  • 5 months ago

    The distinct piece of job here to be talked about is painting a single house. That requires a set amount of "effort" which is constant unless you want to exceed or let down expectations.

    effort = 3*4 people-days for 5 houses = 2.4 people-days per house.

    for 6 houses, you will need 14.4 people-days. With 2 people, that is 7.2 days.

  • It takes 12 people-days to paint 5 houses

    Therefore, it takes 2.4 people-days to paint a single house

    2.4 people-days/house * 6 houses => 14.4 people-days

    2 people * x days = 14.4 people-days

    2x = 14.4

    x = 7.2

  • 5 months ago

    Four people can paint 5 houses in 3 days.

    Two people, therefore, should be able to paint 5 houses in 6 days, or 5/6 of a house per day.

    6 houses divided by 5/6 house/day = 36/5 = 7.2 days.

  • sepia
    Lv 7
    5 months ago

    It takes 3 days for 4 people to paint 5 houses. 

    It will take 7.2 days for 2 people to paint 6 houses.

  • Anonymous
    5 months ago

    You should do your own 3rd grade math homework.

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