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 ?

  • Interview Candidate
  • 16
  • 4162

Showing Answers 1 - 16 of 16 Answers

e

  • Nov 25th, 2005
 

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

  Was this answer useful?  Yes

padma

  • Nov 26th, 2005
 

if the hare covers 1/6th of the circle's circumference,then the distance covered by the tortoise should be (1-1/6)th of the circumference,isnt it?

  Was this answer useful?  Yes

vrs007

  • Nov 28th, 2005
 

I think the answer is "greater than 21.25 times"

  Was this answer useful?  Yes

sharad vasisht

  • Dec 6th, 2005
 

Could you plz explain the approach that  how did you came to this ans.??

  Was this answer useful?  Yes

pallavi rani

  • Dec 7th, 2005
 

since the hare didnt started till tortoise travelled 1/8th distance, so the left over is 7/8th.after hare ran for 1/6th of the distance it met tortoise , so tortoise walk for a distance of(7/8)-(1/6) =17/24 distance in the same time . so the ratio of distances ran in the same slot can gv the ratio of speed. so hare: tortoise=1/6 : 17/24=4/17=0.235.so its obvious that hare was slow wen compared to tortoise. so hare must be faster more than 4.25 times(=1/0.235) compared to tortoise.

  Was this answer useful?  Yes

vipin

  • Dec 28th, 2005
 

yes my answer is also greater than 21.25 times

  Was this answer useful?  Yes

SAMBIT KUMAR

  • Mar 27th, 2006
 

correct answer is more than 16 times faster.

  Was this answer useful?  Yes

jakri

  • Jul 8th, 2006
 

i think the answer is 5 times.Both are moving in opp dirns and they have met after hare covered 1/6 th dist.Now hare has to go 5/6 th and tortoise 1/5 th .

so hare should run more than 5 times faster than tortoise

  Was this answer useful?  Yes

lux

  • Dec 3rd, 2006
 

 

314

52.33                     

distance travelled by hare at time T=52.33

                                                                    

                                                          314-39.25=274.75

distance travelled by tortoise at timeT  =274.75

ratio of speed= 274.5/52.33=4.25

this means that the hare should run 4.25 times the tortoise to win the raise.

  Was this answer useful?  Yes

Sagar

  • Feb 7th, 2014
 


Hint....
hare covered 1/6 distance and remain 5/6 ok. next when tortoise cross rabbit that time tortoise have to cover 1/6 since which was covered by rabbit ....and as rabbit have to cover 5/6 remaining.

  Was this answer useful?  Yes

Give your answer:

If you think the above answer is not correct, Please select a reason and add your answer below.

 

Related Answered Questions

 

Related Open Questions