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) You can put this solution on YOUR website! 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? \n" ); document.write( ": \n" ); document.write( "let w = speed walking \n" ); document.write( "let r = speed running \n" ); document.write( ": \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 \n" ); document.write( ": \n" ); document.write( "A time equation for each scenario; time = dist/speed \n" ); document.write( " \n" ); document.write( "and \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 2, subtract the 2nd equation \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "------------------------------subtraction eliminates w, find r \n" ); document.write( " \n" ); document.write( "multiply both sides by r \n" ); document.write( "r = 10 mph is the running speed \n" ); document.write( ": \n" ); document.write( "Find w \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "2 = .5w \n" ); document.write( "w = 4 mph is the walking speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check in the 2nd equation \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |