Accenture
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Numerical Ability
Time Distance and Speed
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 ?
Read Solution (Total 6)
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- 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
- 9 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
- 9 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.
- 8 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
- 8 years agoHelpfull: Yes(0) No(0)
Accenture Other Question
All handsome, fair skinned, muscular, lean, employed, and rich men are tall.
All handsome men are fair skinned.
Some muscular men are handsome.
Some muscular men are not fair skinned.
All lean men are muscular.
No lean man is handsome.
No fair skinned man who is not handsome is rich.
All tall men who are neither fair skinned nor muscular are employed.
Q1) pramod is not fair skinned. Which of the following must be true ?
a) pramod is employed
b) if pramod is muscular, he is neither handsome nor lean
c) if pramod is tall, he is employed or muscular.
d) if pramod is not employed, he is muscular.
e) if pramod is tall, he may be muscular or handsome, but not both.
Q2) which must be false if the information given is true ?
a) no lean men are fair skinned.
b) some fair skinned are lean.
c) some rich men are both fair skinned and muscular.
d) some tall men are neither fair skinned nor employed
e) some rich men are lean
Q3) which of the following can be deduced from the information given ?
a) all rich men are handsome
b) some rich men are handsome
c) some rich men are employed
d) some rich men are muscular
e) all rich men are handsome, muscular, or employed
Q4) which cannot be shown to be true or false on the basis of the information given ?
I. No fair skinned or muscular man is employed
II. Some muscular men are fair skinned but not handsome
III. No fair skinned man both handsome and lean
a) I only
b) II only
c) III only
d) I and II
e) II and III
Q. Ajit was driving down the country side when he saw a farmer tending his pigs and ducks in his yard. Ajit asked the farmer how many of each he had.
The farmer replied that there were 60 eyes and 86 feet between them.
How many ducks and how many pigs were there ?