document.write( "Question 22959: C takes 3 hours longer than B to walk 40 kilometers. If C doubles his rate he can cover the same distance in one hour less than B. Find the rate of each. Thanks! \n" ); document.write( "
Algebra.Com's Answer #11345 by venugopalramana(3286) You can put this solution on YOUR website! LET B TAKE B HRS TO COVER 40 KM ...SO HIS SPEED IS 40/B...KMPH... \n" ); document.write( "C TAKES 3 HRS LONGER ..THAT IS B+3 HRS TO COVER 40 KM .. \n" ); document.write( "SO HIS SPEED IS 40/(B+3) .... \n" ); document.write( "C DOUBLES THE SPEED .SO HIS SPEED NOW 2*40/(B+3)=80/(B+3)...SO HE NEEDS \n" ); document.write( "40/{80/(B+3)}=(B+3)/2 HRS..TO COVER 40 KM \n" ); document.write( "BUT HE TAKES 1 HR LESS THAN B ... THAT IS B-1 HRS.....SO...WE HAVE... \n" ); document.write( "(B+3)/2=B-1 \n" ); document.write( "B+3=2(B-1) \n" ); document.write( "B+3=2B-2 \n" ); document.write( "2B-B=3+2 \n" ); document.write( "B=5....HENCE SPEED OF B IS 40/5=8 KMPH AND \n" ); document.write( "WE HAVE SPEED OF C =40/(5+3)=40/8=5 KMPH. \n" ); document.write( " |