document.write( "Question 338715: A car is moving with 30 km/h, and passes the distance between A and B 54 minutes faster than a bycicle that runs with 12 km/h. What is the distance between A and B? \n" ); document.write( "
Algebra.Com's Answer #242913 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A car is moving with 30 km/h, and passes the distance between A and B 54 minutes \n" ); document.write( " faster than a bicycle that runs with 12 km/h. \n" ); document.write( " What is the distance between A and B? \n" ); document.write( ": \n" ); document.write( "Let d = the distance from A to B \n" ); document.write( ": \n" ); document.write( "Change 54 min to .9 hrs \n" ); document.write( ": \n" ); document.write( "Write a time equation, Time = dist/speed \n" ); document.write( ": \n" ); document.write( "Car time + .9 hr = Bike time \n" ); document.write( " \n" ); document.write( "multiply by 60 to get rid of the denominators, results: \n" ); document.write( "2d + 60(.9) = 5d \n" ); document.write( "54 = 5d - 2d \n" ); document.write( "54 = 3d \n" ); document.write( "d = \n" ); document.write( "d = 18 km is the distance from A to B \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the solution by finding the travel time of each \n" ); document.write( "18/12 = 1.5 hr \n" ); document.write( "18/30 = 0.6 hrs \n" ); document.write( "------------------ \n" ); document.write( "differ: .9 hr which is 54 min \n" ); document.write( " \n" ); document.write( " |