document.write( "Question 91537: Daphne and Niles are both driving west on Route 66. At 4:00pm, Daphne is 5 miles west of Niles. A little later, Niles passes Daphne. If Niles is driving at 55 mph and Daphne at 50 mph, at what times does Niles pass Daphne? \n" ); document.write( "
Algebra.Com's Answer #66486 by stanbon(75887) ![]() You can put this solution on YOUR website! Daphne and Niles are both driving west on Route 66. At 4:00pm, Daphne is 5 miles west of Niles. A little later, Niles passes Daphne. If Niles is driving at 55 mph and Daphne at 50 mph, at what times does Niles pass Daphne? \n" ); document.write( "-------------- \n" ); document.write( "Draw the picture letting the position of the two cars at 4:00 be the \n" ); document.write( "starting point. \n" ); document.write( "Daphne is 5 miles ahead of Niles at 4:00 \n" ); document.write( "------------------------ \n" ); document.write( "Niles DATA: \n" ); document.write( "distance = x+5 miles ; rate = 55 mph ; time = (x+5)/55 \n" ); document.write( "-------------- \n" ); document.write( "Daphne DATA: \n" ); document.write( "distance = x miles ; rate = 50 mph; time = x/50 \n" ); document.write( "-------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time = time \n" ); document.write( "(x+5)/55 = x/50 \n" ); document.write( "50x+250 = 55x \n" ); document.write( "5x = 250 \n" ); document.write( "x = 50 miles \n" ); document.write( "Time = x/50 = 50/50 = 1 hr \n" ); document.write( "They are at the same point at 5:00pm \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |