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31 July, 08:50

Matt can paint a room in 5 hours and elliot can paint a room in 3 hours. how long will it take them to paint the room together?

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  1. 31 July, 10:48
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    Let x = the time each one paints at the same time. Painting one whole room means that the output of our equation equals ... 1.

    x/5 = the fraction of the room Matt can paint in x hours.

    x/3 = the fraction of the room Elliot can paint in x hours.

    Our working equation will be: x/5+x/3 = 1

    [solve for x]

    [start by finding common denominator] 3x/15 + 5x/15=1

    [add together] 8x/15 = 1

    [isolate the variable] 8x=15

    x=15/8, or 1 7/8 hours. Together, they can paint a room together in 1 7/8 hours. (An hour, 52 minutes, 30 seconds if you divide it all the way out!)
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