document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888126>Question 888126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this! :)<BR>\n" );
document.write( "a car travelling at a uniform speed reached its distination which is 400 km away from the city. On the return trip, because of motor trouble, the speed is reduced to 10 miles per hour. This caused the car to stay on the road 2 hours longer. Find the speed of the car\r<BR>\n" );
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document.write( "please. </SPAN>\n" );
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document.write( "a car travelling at a uniform speed reached its destination which is 400 km away from the city. On the return trip, because of motor trouble, the speed is reduced to 10 miles per hour. This caused the car to stay on the road 2 hours <BR>\n" );
document.write( "distance =400 miles <BR>\n" );
document.write( "let  usual speed  is X mile per hours <BR>\n" );
document.write( "reduced speed due to motor trouble  =X-10 miles per hours <BR>\n" );
document.write( "time=distance/speed <BR>\n" );
document.write( "t1= 400/x <BR>\n" );
document.write( "t2= 400/X-10  as per given conditions   t2-t1=2<BR>\n" );
document.write( "400/X-400/X-10 =2   by LCM <BR>\n" );
document.write( "400(X-10)-400X/X(X-10) =2<BR>\n" );
document.write( "400 (x-x+10)/X^2-X =2<BR>\n" );
document.write( "400x10/X^2-X=2   taking 2 common <BR>\n" );
document.write( "2000/X^2-X =1<BR>\n" );
document.write( "X^2-X-2000 =0   by factorization spiting middle term <BR>\n" );
document.write( "X^-50X+40x-2000 =0<BR>\n" );
document.write( "(X-50)(X+40)=0<BR>\n" );
document.write( "X=50    or X=-40  speed can not be negative so neglecting -40 <BR>\n" );
document.write( "speed is 50 miles per hours \r<BR>\n" );
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document.write( " </SPAN>\n" );
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