document.write( "Question 623239: 10. The bicycle club members left the campus to go to a park 24 km away for an outing. Manu
\n" ); document.write( "left from the same place by car with picnic supplies 1 and a half hours later, travelled at a
\n" ); document.write( "speed four times as fast and arrived at the park at the same time as the cyclists. How fast did
\n" ); document.write( "Manu drive ?
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Algebra.Com's Answer #391977 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the speed of the bicycle club members
\n" ); document.write( "How much of a head start did the bicycle club members have?
\n" ); document.write( "\"+d%5B1%5D+=+s%2A1.5+\" km
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\n" ); document.write( "Start a stop watch when Manu leaves
\n" ); document.write( "Both he and the b.c.m. will travel for the same length of time
\n" ); document.write( "on the stop watch.
\n" ); document.write( "b.c.m. equation:
\n" ); document.write( "(1) \"+24+-+1.5s+=+s%2At+\"
\n" ); document.write( "Manu's equation:
\n" ); document.write( "(2) \"+24+=+4s%2At+\"
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\n" ); document.write( "(2) \"+t+=+6%2Fs+\"
\n" ); document.write( "Substitute this into (1)
\n" ); document.write( "(1) \"+24+-+1.5s+=+s%2A%286%2Fs%29+\"
\n" ); document.write( "(1) \"+24+-+1.5s+=+6+\"
\n" ); document.write( "(1) \"+1.5s+=+24+-+6+\"
\n" ); document.write( "(1) \"+1.5s+=+18+\"
\n" ); document.write( "(1) \"+s+=+12+\"
\n" ); document.write( "\"+4s+=+48+\"
\n" ); document.write( "Manu.s speed is 48 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+24+=+4s%2At+\"
\n" ); document.write( "(2) \"+48t+=+24+\"
\n" ); document.write( "(2) \"+t+=+.5+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(1) \"+24+-+1.5s+=+s%2A.5+\"
\n" ); document.write( "(1) \"+.5s+%2B+1.5s+=+24+\"
\n" ); document.write( "(1) \"+2s+=+24+\"
\n" ); document.write( "(1) \"+s+=+12+\"
\n" ); document.write( "OK
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