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Math Help - Word Problem Help!

  1. #1
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    Word Problem Help!

    Need to come up with Equation and assign variables D=R*T for the following

    Two people set out simultaneously from two locations 12 miles apart and walk toward each other. One person walks 5 miles an hour faster than the other. Find the rate of speed of each person if they meet in one hour and ten minutes.

    Any help?
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  2. #2
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    Quote Originally Posted by dude View Post
    Need to come up with Equation and assign variables D=R*T for the following

    Two people set out simultaneously from two locations 12 miles apart and walk toward each other. One person walks 5 miles an hour faster than the other. Find the rate of speed of each person if they meet in one hour and ten minutes.

    Any help?
    Let person 1 start at the origin and person 2 start at the 12 mile mark and let person 2 walk at a rate of 5 mi/h faster than person 1.

    Then for person 1:
    D_1 = D which is unknown
    R_1 = R (also unknown)
    T_1 = 70 \text{ minutes}

    So
    D = 70R


    Person 2:
    D_2 = 12 - D_1
    R_2 = R + 5
    T_2 = 70 \text{ minutes}

    So
    12 - D = 70(R + 5)

    So solve the set of simultaneous equations
    D = 70R
    12 - D = 70(R + 5)
    for D and R.

    -Dan
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  3. #3
    Jen
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    Quote Originally Posted by dude View Post
    Need to come up with Equation and assign variables D=R*T for the following

    Two people set out simultaneously from two locations 12 miles apart and walk toward each other. One person walks 5 miles an hour faster than the other. Find the rate of speed of each person if they meet in one hour and ten minutes.

    Any help?
    Well, we know the distance=d=12miles, the time=t=7/6 hours
    the rate is either x or for the faster person x+5, well than the effective rate is 2x+5
    12=(2x+5)\cdot(\frac{7}{6})
    Then all you have to do is solve for x for the slower person and the faster person will be that value + 5.
    Hope that helps.
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