document.write( "Question 845919: A motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.the rate speed on the highway was 3 times the rate on the mountain roads.the time spent travelling the 200 miles was 5 hours.find the rate of the motorist on the highway?
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Algebra.Com's Answer #509601 by ankor@dixie-net.com(22740)\"\" \"About 
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A motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.
\n" ); document.write( "the rate speed on the highway was 3 times the rate on the mountain roads.the time spent travelling the 200 miles was 5 hours.
\n" ); document.write( "let s = his speed on the mountain road
\n" ); document.write( "then
\n" ); document.write( "3s = speed on the highway
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\n" ); document.write( "Write a time equation; time = dist/speed
\n" ); document.write( "hywy time + mtn 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( "\"100%2Fs\" = 5
\n" ); document.write( "5s = 100
\n" ); document.write( "s = 100/5
\n" ); document.write( "s = 20 mph, speed on the mt road
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\n" ); document.write( "find the rate of the motorist on the highway?
\n" ); document.write( "3 * 20 = 60 mph on the highway
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\n" ); document.write( "Check this by finding the time at each speed
\n" ); document.write( "150/60 = 2.5 hrs
\n" ); document.write( " 50/20 = 2.5 hrs
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\n" ); document.write( "total time: 5 hrs\r
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