document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #342786 by htmentor(1343) $\"\"$ $\"About$

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?
\n" ); document.write( "Let d = the distance from the rest stop to the gas station
\n" ); document.write( "The speed of the faster car = d/4 [since it takes this car 4 h]
\n" ); document.write( "The speed of the slower car = d/5 [since this car takes 5 h]
\n" ); document.write( "The difference of the speeds = 17 km/h, so we can write:
\n" ); document.write( "d/4 - d/5 = 17
\n" ); document.write( "(5d - 4d)/20 = 17
\n" ); document.write( "d = 340 km \n" ); document.write( "

\n" );