document.write( "Question 881694: if a man walks at 4/5th of his usual rate he reaches office 5 minutes later than usual how many minutes does he usually take to reach his office \n" ); document.write( "

Algebra.Com's Answer #532490 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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if a man walks at 4/5th of his usual rate he reaches office 5 minutes later than usual
\n" ); document.write( " how many minutes does he usually take to reach his office
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\n" ); document.write( "let t = his normal time to work (in minutes)
\n" ); document.write( "then
\n" ); document.write( "(t+5) = his time when he is late
\n" ); document.write( ":
\n" ); document.write( "Change 4/5 to .8
\n" ); document.write( "let s = his normal rate
\n" ); document.write( "then
\n" ); document.write( ".8s = his slower rate
\n" ); document.write( ":
\n" ); document.write( "We don't really need to know his rate but will use it and get rid of it
\n" ); document.write( "the distance for each trip is the same
\n" ); document.write( "write a distance equation dist = speed * time
\n" ); document.write( "st = .8s(t + 5)
\n" ); document.write( "divide both sides by s
\n" ); document.write( "t = .8(t + 5)
\n" ); document.write( "t = .8t + 4
\n" ); document.write( "t - .8t = 4
\n" ); document.write( ".2t = 4
\n" ); document.write( "t = 4/.2
\n" ); document.write( "t = 20 min is his normal time
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