document.write( "Question 666179: I need help to do a quantative analysis a situation diagram and to solve the problem on this one.
\n" ); document.write( "My sister can walk from school to home in 40 minutes. I can walk from school to home in 30 minutes. Today I stayed for some extra help, and my sister was already 2/5 of the way home when I started. If I walk at my usual peed, can I catch my sister before she gets home? If \"yes\" exactly what fraction of the trip have we covered when I catch her? If \"no\" exactly what fraction of the trip have I covered when my sister gets home?
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Algebra.Com's Answer #414654 by ankor@dixie-net.com(22740)\"\" \"About 
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My sister can walk from school to home in 40 minutes.
\n" ); document.write( " I can walk from school to home in 30 minutes.
\n" ); document.write( " Today I stayed for some extra help, and my sister was already 2/5 of the way home when I started.
\n" ); document.write( " If I walk at my usual speed, can I catch my sister before she gets home?
\n" ); document.write( " If \"yes\" exactly what fraction of the trip have we covered when I catch her?
\n" ); document.write( " If \"no\" exactly what fraction of the trip have I covered when my sister gets home?
\n" ); document.write( ":
\n" ); document.write( "Let d = distance from home to school
\n" ); document.write( "then
\n" ); document.write( "\"d%2F30\" = .033d, your speed walking home
\n" ); document.write( "and
\n" ); document.write( "\"d%2F40\" = .025d, sister's speed walking home
\n" ); document.write( ":
\n" ); document.write( "When you start, sister is 2/5 the way which means:
\n" ); document.write( " she has \"3%2F5\"d or .6d to go
\n" ); document.write( ":
\n" ); document.write( "Find her time to get home: \"%28.6d%29%2F.025d\" = 24 min to get home
\n" ); document.write( "then
\n" ); document.write( "We know it takes you 30 min to get home so she will beat you home by 6 min
\n" ); document.write( "and
\n" ); document.write( "You will have covered \"24%2F30\" = \"4%2F5\" of the way home then
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