document.write( "Question 124782: Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed for each car for the 2-hour trip? \n" ); document.write( "
Algebra.Com's Answer #91558 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two cars started from the same point, and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed for each car for the 2-hour trip? \n" ); document.write( ": \n" ); document.write( "Let s = speed of the slower car \n" ); document.write( "then \n" ); document.write( "(s+8) = speed of the faster car \n" ); document.write( ": \n" ); document.write( "Write a distance equation; Distance = time * speed \n" ); document.write( ": \n" ); document.write( "2s + 2(s+8) = 208 mi \n" ); document.write( ": \n" ); document.write( "2s + 2s + 16 = 208 \n" ); document.write( ": \n" ); document.write( "4s = 208 - 16 \n" ); document.write( ": \n" ); document.write( "4s = 192 \n" ); document.write( "s = \n" ); document.write( "s = 48 mph av speed of the slower car \n" ); document.write( "then \n" ); document.write( "48 + 8 = 56 mph av speed of the faster car \n" ); document.write( ": \n" ); document.write( "Check solutions by finding the distance \n" ); document.write( "2(48) + 2(56) = \n" ); document.write( " 96 + 112 = 208 \n" ); document.write( " |