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Math Help - Story problem help...

  1. #1
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    Story problem help...

    I need some help with a simple story problem. I seem to have forgotten as when I'm in algebra I forget some basic math. So, could you please solve this and explain it to me step by step? Thank you so much!

    "Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it take them if they work together?"
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  2. #2
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    Quote Originally Posted by FatalSylence View Post
    I need some help with a simple story problem. I seem to have forgotten as when I'm in algebra I forget some basic math. So, could you please solve this and explain it to me step by step? Thank you so much!

    "Alice can paint the house in 5 hours, and Bob can paint it in 7 hours. How long will it take them if they work together?"
    This means Alice can paint 1/5 of the house in one hour, and Bob can paint 1/7 of the house in one hour, right? This brings us to the following equation:

    Let x be the work done in a hour by both of them:

    1/5 + 1/7 = x
    7/35 + 5/35 = 12/35

    That means in a hour, they can do 12/35 of the house.

    Which means, the entire work can be done in 35/12 hours (since the amount done in a hour multiplied by the number of hours should give 1 or if you prefer \frac {n}{n}).

    35/12 = 2.916 hours or 2 hours and 55 minutes rounded.

    Voilà.
    Last edited by Sodapop; May 9th 2009 at 03:13 PM. Reason: Edit in red
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  3. #3
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    Thank you so much, Sodapop! I appreciate it greatly. =)
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