document.write( "Question 370628: A train travels 360km at a uniform speed. If the speed had been 5km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train \n" ); document.write( "
Algebra.Com's Answer #264194 by mananth(16946)\"\" \"About 
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distance = 360 km
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\n" ); document.write( "let speed be x
\n" ); document.write( "then time taken = d/r
\n" ); document.write( "t=360/x
\n" ); document.write( "..
\n" ); document.write( "if speed is increased by 5 km/h
\n" ); document.write( "speed will be (x+5)km/h
\n" ); document.write( "..
\n" ); document.write( "distance is the same
\n" ); document.write( "t= 360/(x+5)
\n" ); document.write( "..
\n" ); document.write( "time with original speed - time with increased speed = 1
\n" ); document.write( "..
\n" ); document.write( "360/x - 360/(x+5)=1
\n" ); document.write( "LCD= x(x+5)
\n" ); document.write( "(360(x+5)-360x) /x(x+5)=1
\n" ); document.write( "360x+1800-360x=x(x+5)
\n" ); document.write( "x^2+5x = 1800
\n" ); document.write( "x^2+5x-1800=0
\n" ); document.write( "x^2+45x-40x-1800=0
\n" ); document.write( "x(x+45)-40(x+45)=0
\n" ); document.write( "(x-40)(x+45)=0
\n" ); document.write( "x= 40 mph the original speed.
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\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "
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