document.write( "Question 236273: Nolan walked to the store from his home at rate of 5 miles per hour. After spending one-half hour in the store, his friend gave him a ride home at the rate of 30 miles per hour. He arrived home 1 hour and 5 minutes (1 1/12 hours) after he left. How far is the store from Nolan's home? \n" ); document.write( "
Algebra.Com's Answer #173947 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Nolan walked to the store from his home at rate of 5 miles per hour. \n" ); document.write( "After spending one-half hour in the store, his friend gave him a ride home at the rate of 30 miles per hour. \n" ); document.write( "He arrived home 1 hour and 5 minutes (1 1/12 hours) after he left. \n" ); document.write( "How far is the store from Nolan's home? \n" ); document.write( "------------------------------------------- \n" ); document.write( "Walking DATA: \n" ); document.write( "rate = 5 mph ; distance = x miles ; time = x/5 hrs \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Riding DATA: \n" ); document.write( "rate = 30 mph ; distance = x miles ; time = x/30 hrs \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "walk time + ride time = 13/12 hrs \n" ); document.write( "x/5 + x/30 = 13/12 \n" ); document.write( "Multiply thru by 60 to get: \n" ); document.write( "12x + 2x = 65 \n" ); document.write( "14x = 65 \n" ); document.write( "x = 65/14 miles is approximately 4.64 \n" ); document.write( "2x = 2(4.64) = 9.29 miles (distance from Nolan's house to the store) \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |