document.write( "Question 887250: Can you help me solve the problem? I need this as a guide in solving other problem.
\n" ); document.write( "A car travels 20 kph faster than a truck. The car covers 480 km in two hours less than the time it takes the truck to travel the same distance. How fast does the car travel?
\n" ); document.write( "THANKS.
\n" ); document.write( "

Algebra.Com's Answer #536502 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Can you help me solve the problem? I need this as a guide in solving other problem.
\n" ); document.write( "A car travels 20 kph faster than a truck. The car covers 480 km in two hours less than the time it takes the truck to travel the same distance. How fast does the car travel?
\n" ); document.write( "THANKS.
\n" ); document.write( "

\n" ); document.write( "Let the speed of the car be S
\n" ); document.write( "Then speed of truck is: S - 20
\n" ); document.write( "Time taken by car to travel 480 km: \"480%2FS\"
\n" ); document.write( "Time taken by truck to travel 480 km: \"480%2F%28S+-+20%29\"
\n" ); document.write( "Since the car takes 2 hours less than the truck, to travel 480 km, we can say that: \"480%2FS+%2B+2+=+480%2F%28S+-+20%29\"
\n" ); document.write( "480(S - 20) + 2(S)(S - 20) = 480(S) ------- Multiplying by LCD, S(S - 20)
\n" ); document.write( "\"480S+-+9600+%2B+2S%5E2+-+40S+=+480S\"
\n" ); document.write( "\"2S%5E2+-+480S+%2B+480S+-+40S+-+9600+=+0\"
\n" ); document.write( "\"2S%5E2+-+40S+-+9600+=+0\"
\n" ); document.write( "\"2%28S%5E2+-+20S+-+4800%29+=+2%280%29\"
\n" ); document.write( "\"S%5E2+-+20S+-+4800+=+0\"
\n" ); document.write( "(S - 80)(S + 60) = 0
\n" ); document.write( "S = 80 OR S = - 60 (ignore)
\n" ); document.write( "S, or speed of car = \"highlight_green%28highlight_green%2880%29%29\" km/h \n" ); document.write( "
\n" );