document.write( "Question 737833: Walking at 3/4 of her usual speed, Molly arrives at her destination 2.5 hours late. What is her usual time for walking this distance? \n" ); document.write( "
Algebra.Com's Answer #450581 by josmiceli(19441)\"\" \"About 
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I will say that usually her motion equation is
\n" ); document.write( "(1) \"+d+=+r%2At+\"
\n" ); document.write( "When she walks at 3/4 her usual speed,
\n" ); document.write( "her equation is:
\n" ); document.write( "(2) \"+d+=+%283%2F4%29%2Ar%2A%28+t+%2B+2.5+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "The only units given are hours
\n" ); document.write( "I can say \"+d+=+1+\" unit, miles or what ever, so
\n" ); document.write( "(1) \"+1+=+r%2At+\"
\n" ); document.write( "(2) \"+1+=+%283%2F4%29%2Ar%2A%28+t+%2B+2.5+%29+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+1+=+%283%2F4%29%2A%28+r%2At+%2B+2.5r+%29+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+1+=+%283%2F4%29%2A%28+1+%2B+2.5r+%29+\"
\n" ); document.write( "(2) \"+1+=+3%2F4+%2B+%283%2F4%29%2A%285%2F2%29%2Ar+\"
\n" ); document.write( "(2) \"+8+=+6+%2B+15r+\"
\n" ); document.write( "(2) \"+15r+=+2+\"
\n" ); document.write( "(2) \"+r+=+2%2F15+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+1+=+r%2At+\"
\n" ); document.write( "(1) \"+1+=+%282%2F15%29%2At+\"
\n" ); document.write( "(1) \"+t+=+15%2F2+\"
\n" ); document.write( "(1) \"+t+=+7.5+\"
\n" ); document.write( "Her usual time is 7.5 hrs
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+1+=+%283%2F4%29%2Ar%2A%28+t+%2B+2.5+%29+\"
\n" ); document.write( "(2) \"+1+=+%283%2F4%29%2A%282%2F15%29%2A%28+7.5+%2B+2.5+%29+\"
\n" ); document.write( "(2) \"+1+=+%286%2F60%29%2A10+\"
\n" ); document.write( "(2) \"+1+=+1+\"
\n" ); document.write( "Hope I got it\r
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