Q. A supportive young hare and tortoise raced in opposite directions around a circular track that was 100 yards in diameter. They started at the same spot, but the hare did not move until the tortoise had a start of one eighth of the distance ( that is, the circumference of the circle). The hare held such a poor opinion of the other’s racing ability that he sauntered along, nibbling the grass until he met the tortoise. At this point the hare had gone one sixth of the distance. How many times faster than he went before must the hare now run in order to win the race ?

• since the tortise std with 1/8th d circmfrnce of circle, the tortise moved 1/6-1/8 when the hare moved 1/6.So ratio of their distances coverd is 1/6:1/24 which is nothin but ratio of their speeds since time taken by both to reach is same.Therefore the ratio is4:1
• 8 years agoHelpfull: Yes(4) No(1)
• the hare and the tortoise are at d same point when hare have to cover 5/6 of the dist n tortoise have to covet 1/6 of the dist to complete the race...
  if x is d speed of tortoise then it'll take 1/(6x) time to finish..
  so, hare will have to run more then 5 times the speed of tortoise to win the race.
  
  Ans: more than 5 times
• 10 years agoHelpfull: Yes(1) No(7)
• four times
• 8 years agoHelpfull: Yes(0) No(0)
• All the three answers given here are wrong. Please go through the video given by me in youtube for the answer and explanation. the link is https://youtu.be/3TZsPb34SV4
• 8 years agoHelpfull: Yes(0) No(2)
• The hare and the tortoise are at the same point when hare have to cover 5/6 of the distance and tortoise have to cover 1/6 of the distance to complete the race.
  If x is the speed of tortoise then it'll take 1/(6 x) time to finish.
  So, hare will have to run more then 5 times the speed of tortoise to win the race.
  
• 7 years agoHelpfull: Yes(0) No(0)
• let d=distance to be covered in whole race (100 yards it is given anyways)
  x=distance tortoise covers when hare covers 1/6 distance
  now tortoise and hare meet when tortoise has covered x+d/8 distance and hare has covered d/6 distance
  so d=x+d/8+d/6 (get this equation by looking at the circular track drawn on paper and hare tortoise moving in opposite direction)
  by solving we get x=(17/20)d
  calculating the ratio of distance covered by tortioise and hare :-
  (17/20)d+d/8
  -------------------= 5 thus hare must run five time times faster to tie and more than 5 to win....
  d/6
  
  
• 7 years agoHelpfull: Yes(0) No(0)