document.write( "Question 170453This question is from textbook Introductory Algebra
\n" ); document.write( ": Solve the problem. Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk? \n" ); document.write( "
Algebra.Com's Answer #125859 by ankor@dixie-net.com(22740)\"\" \"About 
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Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph.
\n" ); document.write( " She traveled a total of 93 miles. Had she biked the whole time, she would have
\n" ); document.write( " gone 117 miles.
\n" ); document.write( ":
\n" ); document.write( "How many hours did she walk?
\n" ); document.write( ":
\n" ); document.write( "We know that if she biked the whole way, travel time would be: 117/13 = 9 hrs
\n" ); document.write( ":
\n" ); document.write( "This is also the travel time of walking and riding a total of 93 mi, implied by
\n" ); document.write( "the phrase.\"Had she biked the whole time\"
\n" ); document.write( ":
\n" ); document.write( "Find the distance she walked, first.\r
\n" ); document.write( "\n" ); document.write( "Let d = distance walked
\n" ); document.write( "Then
\n" ); document.write( "(93-d) = distance she rode
\n" ); document.write( ":
\n" ); document.write( "Write a time equation: Time = dist/speed:
\n" ); document.write( ":
\n" ); document.write( "walking time + riding time = 9 hrs
\n" ); document.write( "\"d%2F5\" + \"%28%2893-d%29%29%2F13\" = 9
\n" ); document.write( ":
\n" ); document.write( "Multiply equation by 65 to get rid of the denominators, results:
\n" ); document.write( "13d + 5(93-d) = 65(9)
\n" ); document.write( ":
\n" ); document.write( "13d + 465 - 5d = 585
\n" ); document.write( ":
\n" ); document.write( "13d - 5d = 585 - 465
\n" ); document.write( ":
\n" ); document.write( "8d = 120
\n" ); document.write( "d = \"120%2F8\"
\n" ); document.write( "d = 15 miles walked
\n" ); document.write( "the
\n" ); document.write( "\"15%2F5\" = 3 hrs walking
\n" ); document.write( ":
\n" ); document.write( "Check solution, find the distance riding:
\n" ); document.write( "\"%2893-15%29%2F13\" = 6 hr
\n" ); document.write( "so we have: 3 + 6 hrs = 9 hrs\r
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