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Math Help - distance/speed worded problem

  1. #1
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    distance/speed worded problem

    A car covers a distance of 200km at a speed ofx km/h. A train covers the same distance at a speed of (x+5) km/h. If the time taken by the car is 2 hourse more than that taken by the train, find x.
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  2. #2
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    Quote Originally Posted by Meg.Fondale View Post
    A car covers a distance of 200km at a speed ofx km/h. A train covers the same distance at a speed of (x+5) km/h. If the time taken by the car is 2 hourse more than that taken by the train, find x.
    Speed(V) distance(S) and time(T) can be related as V=S/T

    so X=200/(t+2)
    and (X+5)=200/t

    then you can solve for x and t simultaneously
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  3. #3
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    Quote Originally Posted by Meg.Fondale View Post
    A car covers a distance of 200km at a speed ofx km/h. A train covers the same distance at a speed of (x+5) km/h. If the time taken by the car is 2 hourse more than that taken by the train, find x.
    To learn the general set-up method for "uniform rate" word problems, try here.

    Then:

    . . .car:
    . . . . .distance: 200
    . . . . .rate: x
    . . . . .time: 200/x

    . . .train:
    . . . . .distance: 200
    . . . . .rate: x + 5
    . . . . .time: 200/(x + 5)

    Translate the given relationship, "(car's time) is (train's time) plus (two more hours)", into an equation. Solve the rational equation for the value of "x". Back-solve for the required values.

    Remember to put appropriate units on your answer!
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