document.write( "Question 160056: Mary is running to school. She leaves home at 7:00 am trotting at a speed of 12 mph. Her little lamb leaves home at 7:15 am running after her at a speed of 17 mph. What time of the day will the lamb catch Mary? Round your answer to the nearest minute. \n" ); document.write( "
Algebra.Com's Answer #118063 by ankor@dixie-net.com(22740)\"\" \"About 
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Mary is running to school. She leaves home at 7:00 am trotting at a speed of 12
\n" ); document.write( " mph. Her little lamb leaves home at 7:15 am running after her at a speed of 17
\n" ); document.write( " mph. What time of the day will the lamb catch Mary? Round your answer to the
\n" ); document.write( " nearest minute.
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\n" ); document.write( "Let t = Mary's travel time in hrs when lamb catches her
\n" ); document.write( "Convert 15 min to hrs 15/60 = .25 hrs
\n" ); document.write( "(t-.25) = travel time of lamb
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\n" ); document.write( "When lamb catches Mary, they will have traveled the same distance
\n" ); document.write( "Write a distance equation using this fact;
\n" ); document.write( "Dist = speed * time
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\n" ); document.write( "lamb's dist = Mary's dist
\n" ); document.write( "17(t-.25) = 12t
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\n" ); document.write( "17t - 4.25 = 12t
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\n" ); document.write( "17t - 12t = +4.25
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\n" ); document.write( "5t = 4.25
\n" ); document.write( "t = \"4.25%2F5\"
\n" ); document.write( "t = .85 hrs
\n" ); document.write( "Convert this to minutes: .85 * 60 = 51 min
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\n" ); document.write( "Lamb catches Mary at 7:51 am
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\n" ); document.write( "Check solution by ensuring they traveled the same dist:
\n" ); document.write( "lambs time .85 - .25 = .6 hrs
\n" ); document.write( "17*.6 = 10.2 mi
\n" ); document.write( "12*.85 = 10.2 mi \n" ); document.write( "
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