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!