document.write( "Question 501037: a motorist drove 150 miles on a country roads before driving 50 miles on a mountain roads. The rate of speed on the country roads was three times the rate on the mountain roads. The time spend traveling was 200 miles was 5 hours. Find the rate of the motorist on the country roads \n" ); document.write( "
Algebra.Com's Answer #338428 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a motorist drove 150 miles on a country roads before driving 50 miles on a mountain roads. \n" ); document.write( "The rate of speed on the country roads was three times the rate on the mountain roads. \n" ); document.write( " The time spend traveling was 200 miles was 5 hours. \n" ); document.write( " Find the rate of the motorist on the country roads \n" ); document.write( ": \n" ); document.write( "Let s = his speed on mountain road \n" ); document.write( "then \n" ); document.write( "3s = his speed on country roads \n" ); document.write( ": \n" ); document.write( "Write a time equation; time = dist / speed \n" ); document.write( ": \n" ); document.write( "Country Rd time + Mtn Rd time = 5 hrs \n" ); document.write( " \n" ); document.write( "reduce the 1st fraction \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "5s = 100 \n" ); document.write( "s = 20 mph in the mts \n" ); document.write( "then \n" ); document.write( "2(20) = 60 mph on the country roads \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Check by finding the actual time on each \n" ); document.write( "150/60 = 2.5 hrs \n" ); document.write( "50/20 = 2.5 hrs \n" ); document.write( "--------------- \n" ); document.write( "total time 5 hrs \n" ); document.write( " \n" ); document.write( " |