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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- April 21st 2009, 04:35 AMMeg.Fondaledistance/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.

- April 21st 2009, 05:13 AMjamtheman
- April 21st 2009, 06:26 AMstapel
To learn the general set-up method for "uniform rate" word problems, try

**here**. (Wink)

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! :D