document.write( "Question 251488: mr.may traveled from home to New York by a car with 15 mph speed. While he was driving, his girlfriend called him to go back home. He suddenly drove back home with 25 mph speed. If this round-trip took 32 minutes. What is the average speed he drove for the round-trip? \n" ); document.write( "
Algebra.Com's Answer #183184 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! mr.may traveled from home to New York by a car with 15 mph speed. While he was driving, his girlfriend called him to go back home. He suddenly drove back home with 25 mph speed. If this round-trip took 32 minutes. What is the average speed he drove for the round-trip? \n" ); document.write( "----------------- \n" ); document.write( "Going DATA: \n" ); document.write( "rate = 15 mph ; distance = x miles ; time = x/15 hrs \n" ); document.write( "---------------------- \n" ); document.write( "Returning DATA: \n" ); document.write( "rate = 25 mph ; distance = x miles ; time = x/25 hrs \n" ); document.write( "---------------- \n" ); document.write( "Equation: \n" ); document.write( "time + time = 32/60 hrs \n" ); document.write( "x/15 + x/25 = 32/60 \n" ); document.write( "x/15 + x/25 = 16/30 \n" ); document.write( "Multiply thru by 150 to get: \n" ); document.write( "10x + 6x = 80 \n" ); document.write( "15x = 80 \n" ); document.write( "x = 5 miles\r \n" ); document.write( "\n" ); document.write( "---------------------- \n" ); document.write( "Average speed = total distance / total time \n" ); document.write( "Ave speed = 10 miles/(32/60)hr = 600/32 = 18.75 mph \n" ); document.write( "======================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |