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Math Help - Basic Math Problem

  1. #1
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    Basic Math Problem

    Hello everyone. Can anyone help me solve the following problem or give me an idea where to begin. It seems very basic but I can't seem to work it out. Thank you.

    "Mr and Mrs Matrix set out one Sunday to jog round the same course.
    Mr Matrix runs 4 km/h faster than his wife. He completes the course in 2 hours and she takes 3 hours.
    Calculate how fast each person runs and how long the course is."
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  2. #2
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    Quote Originally Posted by mrenvelope View Post
    Hello everyone. Can anyone help me solve the following problem or give me an idea where to begin. It seems very basic but I can't seem to work it out. Thank you.

    "Mr and Mrs Matrix set out one Sunday to jog round the same course.
    Mr Matrix runs 4 km/h faster than his wife. He completes the course in 2 hours and she takes 3 hours.
    Calculate how fast each person runs and how long the course is."
    Let Dr Matrix run at m km/he, then his wife runs at (m-4) km/h. Let the course length be l km, then:

    2=l/m

    and:

    3=l/(m-4)

    Now solve.

    CB
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  3. #3
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    It's not really basic, because you have to figure out what is being said here. To do that lets look at what information we have.

    We are told that \mbox{"Mr. Matrix runs} \ (x+4)\frac{km}{h} \ \mbox{faster than his wife"}. We can then allow x\frac{km}{h} to equal the speed of the wife.

    We are also told that Mr. Matrix takes 2 hours to complete the course, and the wife takes 3 hours to complete the course. If they are both running the SAME course, then there is an equality here we can exploit using (distance)=(rate)(time).
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  4. #4
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    solve \frac{x+4}{2}=\frac{x}{3}
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  5. #5
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    Or....

    You could say that in 2 hours mr matrix would accumulate an 8 km gap where he reaches the target. and mrs matrix would need an extra hour to cover 8km.
    So she travels at 8km/h and he travels 4km/h faster than this. 12km/h

    Pickslides your equation gives -12km/h. i didn't know mr matrix was running backwards. lol joke
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  6. #6
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    Quote Originally Posted by pickslides View Post
    solve \frac{x+4}{2}=\frac{x}{3}
    should've been, solve \frac{x-4}{2}=\frac{x}{3}
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  7. #7
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    Got it, thank you all.
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