document.write( "Question 77685: Two cars take off from a starting line heading in the same direction. One car is traveling at 40 mph and the other at 55 mph. How much time must pass before the cars are 5 miles apart. \n" ); document.write( "
Algebra.Com's Answer #55717 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Two cars take off from a starting line heading in the same direction. One car is traveling at 40 mph and the other at 55 mph. How much time must pass before the cars are 5 miles apart. \n" ); document.write( "Distance=rate*time \n" ); document.write( "The distance of the car going 40 mph for t time is: 40t \n" ); document.write( "The distance of the car going 55 mph for the same amount of time t is: 55t \n" ); document.write( "We want to know when the faster car has gone 5 miles more than the slower car: \n" ); document.write( "55t=40t+5 \n" ); document.write( "55t-40t=40t-40t+5 \n" ); document.write( "15t=5 \n" ); document.write( "15t/5=5/15 \n" ); document.write( "t=1/3 \n" ); document.write( "They'll be 5 miles apart in 1/3 an hour. \n" ); document.write( "An hour is 60 minutes, so 1/3(60)=20 minutes \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |