SOLUTION: A person can drive from town A to town B at a certain rate of speed in 6 hours. If he increases his speed by 20kph he can make the trip in four hours. How far is it from town A to

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Question 124538This question is from textbook
: A person can drive from town A to town B at a certain rate of speed in 6 hours. If he increases his speed by 20kph he can make the trip in four hours. How far is it from town A to B. This question is from textbook

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Use the distance formula on this problem:
where:d = distance, r = rate(speed) and t = time of travel.
For the first trip:
and we don't know
For the second trip:
and
and, of course, d is the same in both cases.
So, we can write:
1) and...
2) setting these two equal to each other and simplifying...
Subtract from both sides.
Divide both sides by 2.
Now we can find the distance, d.
Substitute and

km.
Check: Substitute and



km.
The distance from town A to town B is 240 km.

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