document.write( "Question 1157786: Driving her car at 60 km/h Carolina can cover a certain distance in 10 minutes less than when she drives at 55 km/h. Find that distance in meters. \n" ); document.write( "

Algebra.Com's Answer #780641 by greenestamps(13209) $\"\"$ $\"About$

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\n" ); document.write( "Let d be the distance.

\n" ); document.write( "Time at 60km/hr = d/60
\n" ); document.write( "Time at 55km/hr = d/55

\n" ); document.write( "The time at 60km/hr is 10 minutes = 1/6 hour less than at 55km/hr:

\n" ); document.write( " $\"d%2F60+=+d%2F55-1%2F6\"$

\n" ); document.write( "Multiply by the least common denominator, 660

\n" ); document.write( " $\"11d+=+12d-110\"$
\n" ); document.write( " $\"d+=+110\"$

\n" ); document.write( "ANSWER: The distance is 110km, or 110,000 meters.

\n" ); document.write( "CHECK:
\n" ); document.write( "110km at 60km/hr = 110/60 = 11/6 hours = 1 hour 50 minutes
\n" ); document.write( "110km at 55km/hr = 110/55 = 2 hours

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