document.write( "Question 137152: Mack traveled from his home to his office at a speed of 58 mph. He traveled the same route on his way back home , but on the return trip his speed was 62 mph. If altogether, Mack spent a total of 3 hours on the road, how many hours did the trip to his office take? \n" ); document.write( "
Algebra.Com's Answer #100348 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Mack traveled from his home to his office at a speed of 58 mph. He traveled the same route on his way back home , but on the return trip his speed was 62 mph. If altogether, Mack spent a total of 3 hours on the road, how many hours did the trip to his office take? \n" ); document.write( "---------------- \n" ); document.write( "To the office DATA: \n" ); document.write( "rate = 58 mph ; time = x hrs ; distance = 58x miles \n" ); document.write( "------------------- \n" ); document.write( "From office DATA: \n" ); document.write( "rate = 62 mph ; 3-x hrs; distance = 62*(3-x) miles \n" ); document.write( "--------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "distance to = distance from \n" ); document.write( "58x = 62(3-x) \n" ); document.write( "58x = 186-62x \n" ); document.write( "120x = 186 \n" ); document.write( "x = 1.55 hrs (time to get to the office) \n" ); document.write( "x = 1 hr 33 minutes (time to get to the office) \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |