document.write( "Question 896545: Ann and Tom took turns driving for a total of 10 hours. On average, Ann drove at 65mph and tom at 60mph. For how long did each drive, and how far, if Ann drove 100 miles farther than Tom? \n" ); document.write( "

Algebra.Com's Answer #543593 by josgarithmetic(39620) $\"\"$ $\"About$

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The given information into a table assigning for d:
\n" ); document.write( "Uniform Rate Rule, RT=D equivalent to T=D/R\r
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\n" ); document.write( "\n" ); document.write( "_____________________speed______time_________distance
\n" ); document.write( "Ann__________________65________(___)_________d+100
\n" ); document.write( "Tom__________________60________(___)__________d
\n" ); document.write( "TOTAL___________________________10\r
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\n" ); document.write( "\n" ); document.write( "_____________________speed______time_________distance
\n" ); document.write( "Ann__________________65________(d+100)/65_________d+100
\n" ); document.write( "Tom__________________60________(d/60)__________d
\n" ); document.write( "TOTAL___________________________10\r
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\n" ); document.write( "\n" ); document.write( "Question is for TIMES that each drove, but this requires first solving for d.
\n" ); document.write( " $\"highlight%28%28d%2B100%29%2F65%2Bd%2F60=10%29\"$ .
\n" ); document.write( "Check for lowest common denominator carefully. LCD is $\"5%2A12%2A13=780\"$ .
\n" ); document.write( "Multiply left and right members by $\"5%2A12%2A13\"$ .
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\n" ); document.write( "\n" ); document.write( "---\r
\n" ); document.write( "\n" ); document.write( "65=5*13;
\n" ); document.write( "60=2*2*3*5;
\n" ); document.write( "LCD is 2*2*3*5*13=780 \n" ); document.write( "

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