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Math Help - Work rate problem

  1. #1
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    Work rate problem

    Mary wraps 5 parcels in 2 minutes while Kerry unwraps a parcel every ten minutes. If both work together how long will it take them to have 120 wrapped parcels ready?
    A) 5 mins
    B) 10 mins
    C) 20 mins
    D) 35 mins
    E) 50 mins
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  2. #2
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    Re: Work rate problem

    Quote Originally Posted by usre123 View Post
    Mary wraps 5 parcels in 2 minutes while Kerry unwraps a parcel every ten minutes. If both work together how long will it take them to have 120 wrapped parcels ready?
    A) 5 mins
    B) 10 mins
    C) 20 mins
    D) 35 mins
    E) 50 mins
    Hello,

    let x denote the number of minutes it takes to get the 120 Parcels.

    You know that Mary wraps \frac52 \frac{parcels}{min}

    and Kerry unwraps \frac1{10} \frac{parcels}{min}

    That means the number of parcels is determined by:

    \frac52 \frac{parcels}{min} \cdot x \ min - \frac1{10} \frac{parcels}{min} \cdot x \ min = 120 \ parcels

    Solve for x.
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  3. #3
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    Re: Work rate problem

    Hey, its ok, I got it. Thanks a lot. It was really easy. Mary does 5/2= 2.5 boxes/minute. Kerry unwraps 1/10= 0.1 per minute. So Mary - Kerry (since they're doing opposite things) is equal to 2.4. Now 2.4 * 120= 50 minutes.
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  4. #4
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    Re: Work rate problem

    Quote Originally Posted by usre123 View Post
    Hey, its ok, I got it. Thanks a lot. It was really easy. Mary does 5/2= 2.5 boxes/minute. Kerry unwraps 1/10= 0.1 per minute. So Mary - Kerry (since they're doing opposite things) is equal to 2.4. Now 2.4 * 120= 50 minutes.
    Hello,

    you obviously calculated correctly but wrote it the wrong way:

    x = \frac{120\ parcels}{2.4\ \frac{parcels}{min}}

    which yields your result.
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