document.write( "Question 914369: A man running for 8 miles and walking for 2 miles covers 10 miles in 1 hr.18 mins. If he runs 6 miles and walk 4 miles, the distance takes him 1 hr. 36 mins. What are his running and walking speed?
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Algebra.Com's Answer #555104 by ankor@dixie-net.com(22740)\"\" \"About 
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A man running for 8 miles and walking for 2 miles covers 10 miles in 1 hr.18 mins.
\n" ); document.write( " If he runs 6 miles and walk 4 miles, the distance takes him 1 hr. 36 mins.
\n" ); document.write( " What are his running and walking speed?
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\n" ); document.write( "let w = speed walking
\n" ); document.write( "let r = speed running
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\n" ); document.write( "Change 1 hr 18 min to hrs. 1 + 18/60 = 1.3 hrs
\n" ); document.write( "Change 1 hr 36 min to hrs. 1 + 36/60 = 1.6 hrs
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\n" ); document.write( "A time equation for each scenario; time = dist/speed
\n" ); document.write( "\"8%2Fr\" + \"2%2Fw\" = 1.3
\n" ); document.write( "and
\n" ); document.write( "\"6%2Fr\" + \"4%2Fw\" = 1.6
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\n" ); document.write( "multiply the 1st equation by 2, subtract the 2nd equation
\n" ); document.write( "\"16%2Fr\" + \"4%2Fw\" = 2.6
\n" ); document.write( "\"6%2Fr\" + \"4%2Fw\" = 1.6
\n" ); document.write( "------------------------------subtraction eliminates w, find r
\n" ); document.write( "\"10%2Fr\" + 0 = 1.0\
\n" ); document.write( "multiply both sides by r
\n" ); document.write( "r = 10 mph is the running speed
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\n" ); document.write( "Find w
\n" ); document.write( "\"8%2F10\" + \"2%2Fw\" = 1.3
\n" ); document.write( "\"2%2Fw\" = 1.3 - .8
\n" ); document.write( "\"2%2Fw\" = .5
\n" ); document.write( "2 = .5w
\n" ); document.write( "w = 4 mph is the walking speed
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\n" ); document.write( "Check in the 2nd equation
\n" ); document.write( "\"6%2F10\" + \"4%2F4\" = 1.6\r
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