SOLUTION: 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!

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!
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
LET B TAKE B HRS TO COVER 40 KM ...SO HIS SPEED IS 40/B...KMPH...
C TAKES 3 HRS LONGER ..THAT IS B+3 HRS TO COVER 40 KM ..
SO HIS SPEED IS 40/(B+3) ....
C DOUBLES THE SPEED .SO HIS SPEED NOW 2*40/(B+3)=80/(B+3)...SO HE NEEDS
40/{80/(B+3)}=(B+3)/2 HRS..TO COVER 40 KM
BUT HE TAKES 1 HR LESS THAN B ... THAT IS B-1 HRS.....SO...WE HAVE...
(B+3)/2=B-1
B+3=2(B-1)
B+3=2B-2
2B-B=3+2
B=5....HENCE SPEED OF B IS 40/5=8 KMPH AND
WE HAVE SPEED OF C =40/(5+3)=40/8=5 KMPH.
RELATED QUESTIONS
Carlos takes 3 hours longer than Ty to walk 30 miles; but if Carlos doubles his pace, he... (answered by josmiceli)

Mark can ride 16 kilometres on his bicycle in the same time it takes him to walk 7... (answered by ikleyn)

a takes 4 hours more than b to walk 30km. if he doubles his speed,he takes 1hourless time (answered by stanbon)

It takes a man 23 min. longer to jog 5 mi than it takes his son to run the same distance. (answered by stanbon,MathTherapy)

i need your help to this problem. can you help me?here's the prob. A man is at a point (answered by mananth)

Solve the following problem sets. 19. Suzy is ten years older than Billy, and next year (answered by richard1234)

A man can run 3 kilometers faster than he walks. It takes him 4 hours to run 30... (answered by Tatiana_Stebko,ankor@dixie-net.com)

Carlos can walk 8 miles in the same time it takes him to jog 12 miles. His jogging rate... (answered by ankor@dixie-net.com)

Pedro can walk � kilometers in 3 hours. Does he walk more than 5000 meters per... (answered by sofiyac)