document.write( "Question 352564: A bus travelled 150 miles at a certain speed. If the bus went 10 miles faster, travel time will be decreased by 30 minutes. What is the speed of the bus? \n" ); document.write( "
Algebra.Com's Answer #251948 by josmiceli(19441)\"\" \"About 
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given:
\n" ); document.write( "\"d+=+150\" mi
\n" ); document.write( "\"d+=+r%2At\"
\n" ); document.write( "\"150+=+r%2At\"
\n" ); document.write( "\"150+=+%28r+%2B+10%29%2A%28t+-+1%2F2%29\"
\n" ); document.write( "\"150+=+%28r+%2B+10%29%2A%28150%2Fr+-+1%2F2%29\"
\n" ); document.write( "\"150+=+150+%2B+1500%2Fr+-+r%2F2+-+5\"
\n" ); document.write( "\"1500%2Fr+-+r%2F2+-+5+=+0\"
\n" ); document.write( "\"1500+-+r%5E2%2F2+-+5r+=+0\"
\n" ); document.write( "\"r%5E2+%2B+10r+-+3000+=+0\"
\n" ); document.write( "Use quadratic formula:
\n" ); document.write( " \"r+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+1\"
\n" ); document.write( "\"b+=+10\"
\n" ); document.write( "\"c+=+-3000\"
\n" ); document.write( " \"r+=+%28-10+%2B-+sqrt%28+10%5E2-4%2A1%2A%28-3000%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( " \"r+=+%28-10+%2B-+sqrt%28+100+%2B+12000%29+%29%29%2F2+\"
\n" ); document.write( "\"r+=+%28-10+%2B-+sqrt%2812100%29%29%2F2\"
\n" ); document.write( "\"r+=+%28-10+%2B+110%29%2F2\"
\n" ); document.write( "\"r+=+50\"
\n" ); document.write( "The negative square root cannot be a valid speed, so
\n" ); document.write( "The speed of the bus is 50 mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "\"150+=+%28r+%2B+10%29%2A%28t+-+1%2F2%29\"
\n" ); document.write( "\"150+=+%2850+%2B+10%29%2A%28t+-+1%2F2%29\"
\n" ); document.write( "\"150+=+60%2A%28t+-+1%2F2%29\"
\n" ); document.write( "\"150+=+60t+-+30\"
\n" ); document.write( "\"60t+=+180\"
\n" ); document.write( "\"t+=+3\" hrs
\n" ); document.write( "and, since
\n" ); document.write( "\"150+=+r%2At\"
\n" ); document.write( "\"150+=+50%2A3\"
\n" ); document.write( "\"150+=+150\"
\n" ); document.write( "OK
\n" ); document.write( "
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