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)\"\" \"About 
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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( "\"150%2F%283s%29\" + \"50%2Fs\" = 5
\n" ); document.write( "reduce the 1st fraction
\n" ); document.write( "\"50%2Fs\" + \"50%2Fs\" = 5
\n" ); document.write( ":
\n" ); document.write( "\"100%2Fs\" = 5
\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
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