document.write( "Question 1100086: 1. Mary departs for school on a bicycle at an average rate of 6 miles per hour. Her sister Kate, running late, leaves 15 minutes later and cycles at twice that speed. How long will it take Kate to catch \n" ); document.write( "
Algebra.Com's Answer #714569 by ankor@dixie-net.com(22740)\"\" \"About 
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1. Mary departs for school on a bicycle at an average rate of 6 miles per hour.
\n" ); document.write( " Her sister Kate, running late, leaves 15 minutes later and cycles at twice that speed.
\n" ); document.write( " How long will it take Kate to catch Mary?
\n" ); document.write( ":
\n" ); document.write( "We are dealing in mph, change 15 min to .25 hrs
\n" ); document.write( "let t = Kate's travel time
\n" ); document.write( "then
\n" ); document.write( "(t+.25) = Mary's travel time
\n" ); document.write( ":
\n" ); document.write( "When K catches M, they will have traveled the same distance
\n" ); document.write( "Write a distance equation, dist = speed * time
\n" ); document.write( "12t = 6(t+.25)
\n" ); document.write( "12t = 6t + 1.5
\n" ); document.write( "12t - 6t = 1.5
\n" ); document.write( "6t = 1.5
\n" ); document.write( "t = 1.5/6
\n" ); document.write( "t = .25 hrs or 15 min for K to catch M \n" ); document.write( "
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