SOLUTION: 2 cars leave a rest stop at the same time and travel south on the same road. 5 hours later, the slower car passes a gas station that the faster car had passed an hour earlier. If t

Question 512897: 2 cars leave a rest stop at the same time and travel south on the same road. 5 hours later, the slower car passes a gas station that the faster car had passed an hour earlier. If their average speeds differ by 17km/h how far is the gas station from the rest stop?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
2 cars leave a rest stop at the same time and travel south on the same road. 5 hours later, the slower car passes a gas station that the faster car had passed an hour earlier. If their average speeds differ by 17km/h how far is the gas station from the rest stop?
Let d = the distance from the rest stop to the gas station
The speed of the faster car = d/4 [since it takes this car 4 h]
The speed of the slower car = d/5 [since this car takes 5 h]
The difference of the speeds = 17 km/h, so we can write:
d/4 - d/5 = 17
(5d - 4d)/20 = 17
d = 340 km
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