document.write( "Question 338715: A car is moving with 30 km/h, and passes the distance between A and B 54 minutes faster than a bycicle that runs with 12 km/h. What is the distance between A and B? \n" ); document.write( "
Algebra.Com's Answer #242913 by ankor@dixie-net.com(22740)\"\" \"About 
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A car is moving with 30 km/h, and passes the distance between A and B 54 minutes
\n" ); document.write( " faster than a bicycle that runs with 12 km/h.
\n" ); document.write( " What is the distance between A and B?
\n" ); document.write( ":
\n" ); document.write( "Let d = the distance from A to B
\n" ); document.write( ":
\n" ); document.write( "Change 54 min to .9 hrs
\n" ); document.write( ":
\n" ); document.write( "Write a time equation, Time = dist/speed
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\n" ); document.write( "Car time + .9 hr = Bike time
\n" ); document.write( "\"d%2F30\" + .9 = \"d%2F12\"
\n" ); document.write( "multiply by 60 to get rid of the denominators, results:
\n" ); document.write( "2d + 60(.9) = 5d
\n" ); document.write( "54 = 5d - 2d
\n" ); document.write( "54 = 3d
\n" ); document.write( "d = \"54%2F3\"
\n" ); document.write( "d = 18 km is the distance from A to B
\n" ); document.write( ":
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\n" ); document.write( "Check the solution by finding the travel time of each
\n" ); document.write( "18/12 = 1.5 hr
\n" ); document.write( "18/30 = 0.6 hrs
\n" ); document.write( "------------------
\n" ); document.write( "differ: .9 hr which is 54 min
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