document.write( "Question 1084609: The speed of an ordinary train is x km per hr and that of an express train is x+25 km per hr .(i) find the time taken by each train to cover a distance of 300km.(ii) if the ordinary train takes 2hrs more than the express train;calculate speed of the express train. \n" ); document.write( "
Algebra.Com's Answer #698695 by josmiceli(19441)\"\" \"About 
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(1)
\n" ); document.write( "Time for ordinary train:
\n" ); document.write( "\"+300+%2F+x+\"
\n" ); document.write( "Time for express train:
\n" ); document.write( "\"+300+%2F+x+%2B+25+\"
\n" ); document.write( "------------------------
\n" ); document.write( "(2)
\n" ); document.write( "\"+300%2Fx+=+300%2F%28+x+%2B+25+%29+%2B+2+\"
\n" ); document.write( "Multiply both sides by \"+x%2A%28+x+%2B+25+%29+\"
\n" ); document.write( "\"+300%2A%28+x+%2B+25+%29+=+300x+%2B+2%2Ax%2A%28+x+%2B+25+%29+\"
\n" ); document.write( "\"+300x+%2B+7500+=+300x+%2B+2x%5E2+%2B+50x+\"
\n" ); document.write( "\"+2x%5E2+%2B+50x+-+7500+=+0+\"
\n" ); document.write( "\"+x%5E2+%2B+25x+-+3750+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+x+=+%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+=+25+\"
\n" ); document.write( "\"+c+=+-3750+\"
\n" ); document.write( "\"+x+=+%28+-25+%2B-+sqrt%28+25%5E2-4%2A1%2A%28-3750%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"+x+=+%28+-25+%2B-+sqrt%28+625+%2B+15000+%29%29%2F2+\"
\n" ); document.write( "\"+x+=+%28+-25+%2B-+sqrt%28+15625+%29%29%2F2+\"
\n" ); document.write( "\"+x+=+%28+-25+%2B+125+%29+%2F+2+\" ( can't use the negative sqrt )
\n" ); document.write( "\"+x+=+100%2F2+\"
\n" ); document.write( "\"+x+=+50+\"
\n" ); document.write( "and
\n" ); document.write( "\"+x+%2B+25+=+75+\"
\n" ); document.write( "The speed of the express train is 75 km/hr
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+300%2Fx+=+300%2F%28+x+%2B+25+%29+%2B+2+\"
\n" ); document.write( "\"+300%2F50+=+300%2F75+%2B+2+\"
\n" ); document.write( "Multiply both sides by \"+150+\"
\n" ); document.write( "\"+3%2A300+=+2%2A300+%2B+300+\"
\n" ); document.write( "\"+900+=+600+%2B+300+\"
\n" ); document.write( "\"+900+=+900+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );