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5 May, 22:09

Jerry can frame a room in 2 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together? Set up a rational equation and solve.

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  1. 5 May, 22:23
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    time to frame room together = 4/3 hrs

    Step-by-step explanation:

    Jerry can frame a room in 2 hours while Jake can frame the same room for 4 hours. We need to find the rate at which each of them can frame the room.

    Jerry frame a room for 2 hrs

    Framing done by Jerry in 1 hr will be 1/2 room frame

    Jake frame same room for 4 hrs

    Framing done by Jake in 1 hr will be 1/4 room frame

    Therefore, the rate working together will be

    1/2 + 1/4 = (2 + 1) / 4 = 3/4

    Both of them frame 3/4 th of the room in 1 hr

    To frame 1 room together they will spend what time

    cross multiply

    time to frame room together = 1 : 3/4

    time to frame room together = 1 * 4/3

    time to frame room together = 4/3 hrs
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