math

posted by sai

Jan and pete are home decorators. Jan can paint 3 rooms in 2 hours. Pete can paint 2 rooms in 3 hours. If they work together, about how many hours will it take jan and pete to apint 6 rooms.

  1. Reiny

    Jan's rate = 1 room/ 2/3 hours
    Pete's rate = 1 room/ 3/2 hours

    combined rate = 1/(2/3) + 1/(3/2)
    = 3/2 + 2/3
    = 13/6 room/hr

    time for 6 rooms = 6 ÷ 13/6
    = 6(6/13)
    = 36/13 hours or appr 2 hours 46 minutes

    btw, painting rooms does not work like that.

  2. sai

    how he got 13/6 room /hr
    please explain

  3. Damon

    3/2 + 2/3 = 9/6 + 4/6 = 13/6

  4. sai

    Thank you

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