document.write( "Question 664158: Matt travels at a speed of 64km/hr, if Matt travelled at 78 km/hr he would arrive at his destination 10 Min earlier. What distance did Matt travel? \n" ); document.write( "
Algebra.Com's Answer #413156 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Matt travels at a speed of 64km/hr, if Matt travelled at 78 km/hr he would arrive at his destination 10 Min earlier. What distance did Matt travel? \n" ); document.write( "--------- \n" ); document.write( "Slower speed DATA: \n" ); document.write( "rate = 64 km/hr ; distance = x km ; time = x/64 hrs \n" ); document.write( "------------ \n" ); document.write( "Faster speed DATA: \n" ); document.write( "rate = 78 km/hr ; distance = x km ; time = x/78 hrs \n" ); document.write( "---------- \n" ); document.write( "Equation: \n" ); document.write( "time - time = 1/6 hr \n" ); document.write( "------- \n" ); document.write( "x/64 - x/78 = 1/6 \n" ); document.write( "-------- \n" ); document.write( "6*78x - 6*64x = 64*78 \n" ); document.write( "86x = 64*78 \n" ); document.write( "---- \n" ); document.write( "x = 59.43 km \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |