document.write( "Question 919187: Bianca travelled 1200km.if her average speed had been 5 more km per hour,she could have made the trip in 12 hours less time.find bianca s average speed \n" ); document.write( "
Algebra.Com's Answer #557530 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = Bianca's average speed
\n" ); document.write( "Let \"+t+\" = her time in hrs to travel 1200nkm
\n" ); document.write( "----------------------
\n" ); document.write( "(1) \"+1200+=+s%2At+\"
\n" ); document.write( "(2) \"+1200+=+%28+s%2B5+%29%2A%28+t+-+12+%29+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+1200+=+s%2At+%2B+5t+-+12s+-+60+\"
\n" ); document.write( "(2) \"+1200+=+t%2A%28+s%2B5+%29+-+12s+-+60+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+t+=+1200%2Fs+\"
\n" ); document.write( "(2) \"+1200+=+%28+1200%2Fs+%29%2A%28+s%2B5+%29+-+12s+-+60+\"
\n" ); document.write( "(2) \"+1200+=+1200+%2B+6000%2Fs+-+12s+-+60+\"
\n" ); document.write( "(2) \"+6000%2Fs+=+12s+%2B+60+\"
\n" ); document.write( "(2) \"+6000+=+12s%5E2+%2B+60s+\"
\n" ); document.write( "(2) \"+s%5E2+%2B+5s+=+500+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "(2) \"+s%5E2+%2B+5s+%2B+%285%2F2%29%5E2+=+500+%2B+%285%2F2%29%5E2+\"
\n" ); document.write( "(2) \"+s%5E2+%2B+5s+%2B+25%2F4+=+500+%2B+25%2F4+\"
\n" ); document.write( "(2) \"+%28+s+%2B+5%2F2+%29%5E2+=+2025%2F4+\"
\n" ); document.write( "(2) \"+%28+s+%2B+5%2F2+%29%5E2+=+%28+45%2F2+%29%5E2+\"
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "(2) \"+s+%2B+5%2F2+=+45%2F2+\" ( only the positive root works here )
\n" ); document.write( "(2) \"+s+=+40%2F2+\"
\n" ); document.write( "(2) \"+s+=+20+\"
\n" ); document.write( "Her average speed is 20 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+t+=+1200%2Fs+\"
\n" ); document.write( "(1) \"+t+=+1200%2F20+\"
\n" ); document.write( "(1) \"+t+=+60+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+1200+=+%28+s%2B5+%29%2A%28+t+-+12+%29+\"
\n" ); document.write( "(2) \"+1200+=+%28+20%2B5+%29%2A%28+60+-+12+%29+\"
\n" ); document.write( "(2) \"+1200+=+25%2A48+\"
\n" ); document.write( "(2) \"+1200+=+1200+\"
\n" ); document.write( "OK\r
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