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    caremn555's Avatar
    caremn555 Posts: 1, Reputation: 1
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    #1

    Aug 1, 2011, 10:04 AM
    Help I need to complete this word problem
    Gary has walked 305 meters, and continues at a rate of 1 meter per second. Mary has walked 113 meters, and continues at a rate of 3 meters per second. In how many seconds will they have traveled the same distance?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Aug 1, 2011, 11:33 AM

    You should have posted this question in the homework help section. But to get you started:

    Set up an equation for each of the two walkers using: d = d_i + vt. Here d is the total distance, d_i is the initial distance (305 m for Gary and 113 m for Mary), v is the person's speed, and t is the time. For Gary you have:



    and for Mary:




    For both distances to be equal set these two equations to be equal, and solve for t.

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