document.write( "Question 410641: one lap at the indianapolis speedway is 2.5 mi. in a race, a car stalls and then starts 30.0 s after a second car. the first car travels at 260 ft/s, and the second car travels at 240 ft/s. how long does it take the first car to overtake the second, and which car will be ahead after eight laps \n" ); document.write( "
Algebra.Com's Answer #288825 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! one lap at the indianapolis speedway is 2.5 mi. \n" ); document.write( " in a race, a car stalls and then starts 30.0 s after a second car. \n" ); document.write( " the first car travels at 260 ft/s, and the second car travels at 240 ft/s. \n" ); document.write( " how long does it take the first car to overtake the second, \n" ); document.write( ": \n" ); document.write( "find how far Car 2 will be from Car 1, in 30 sec \n" ); document.write( "30 * 240 = 7200 ft \n" ); document.write( ": \n" ); document.write( "Let t = time for Car 1 to overtake Car 2 \n" ); document.write( ": \n" ); document.write( "Write a distance equation: \n" ); document.write( ": \n" ); document.write( "Car 1 dist = Car 2 dist + 7200 ft \n" ); document.write( "260t = 240t + 7200 \n" ); document.write( "260t - 240t = 7200 \n" ); document.write( "20t = 7200 \n" ); document.write( "t = \n" ); document.write( "t = 360 seconds (6 minutes) for car 1 to catch car 2 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "\"and which car will be ahead after eight laps\" \n" ); document.write( ": \n" ); document.write( "Find which lap they are on when car 1 overtakes car 2 \n" ); document.write( ": \n" ); document.write( "Using car 2 distance. Car 2 travel time 360 + 30 = 390 sec \n" ); document.write( " \n" ); document.write( "We can confirm this with car 1's travel of 360 sec \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Obviously, by the 8th lap Car 1 will have passed Car 2. \n" ); document.write( " |