document.write( "Question 642230: A jogger leaves home and runs at a constant speed of 4 miles per hour. Nine minutes later a bicyclist follows along the same route at a constant speed of 15 miles per hour. Find the bicyclists travel time needed to catch the jogger. \n" ); document.write( "
Algebra.Com's Answer #403992 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A jogger leaves home and runs at a constant speed of 4 miles per hour. Nine minutes later a bicyclist follows along the same route at a constant speed of 15 miles per hour. Find the bicyclists travel time needed to catch the jogger. \n" ); document.write( "------------------- \n" ); document.write( "Jogger DATA: \n" ); document.write( "rate = 4 mph ; time = x hrs ; distance = 4x miles \n" ); document.write( "------------------- \n" ); document.write( "Bicyclist DATA: \n" ); document.write( "rate = 15 mph ; time = x-(9/60) hrs ; distance = 15[x-(9/60)] miles \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "distance = distance \n" ); document.write( "4x = 15x - (9/4) \n" ); document.write( "11x = 9/4 \n" ); document.write( "x = 9/44 hrs. \n" ); document.write( "x = (9/44)60 = 12.27 minutes \n" ); document.write( "----- \n" ); document.write( "Bicyclist's time: 12.27 min - 9 min = 3.27 minutes \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |