document.write( "Question 986732: A truck enters the highway driving 60 mph. A car enters the highway at the same place 15 minutes later and drives 68 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck? \n" ); document.write( "
Algebra.Com's Answer #607553 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A truck enters the highway driving 60 mph. \n" ); document.write( " A car enters the highway at the same place 15 minutes later and drives 68 mph in the same direction. \n" ); document.write( " From the time the car enters the highway, how long will it take the car to pass the truck? \n" ); document.write( ": \n" ); document.write( "Since we are dealing in mph, change 15 min to .25hrs \n" ); document.write( "let t = travel time of the car \n" ); document.write( "then \n" ); document.write( "(t+.25) = travel time of the truck (enter highway 15 min before the car) \n" ); document.write( ": \n" ); document.write( "When the car catches up with the truck, they will have traveled the same distance \n" ); document.write( "Write a distance equation; dist = speed * time \n" ); document.write( "Car dist = truck dist \n" ); document.write( "68t = 60(t+.25) \n" ); document.write( "68t = 60t + 15 \n" ); document.write( "68t - 60t = 15 \n" ); document.write( "8t = 15 \n" ); document.write( "t = 15/8 \n" ); document.write( "t = 1.875 hrs which is: 1 + .875(60) = 1 hr 52.5 min \n" ); document.write( " |