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a hare & a tortoise have a race along a circle of 100 yards diameter.the tortoise goes in 1 direction & hare in another.after the tortoise has covered 1/5th of its distance & that is too leisurely.the hare & tortoise meet when the hare has covered only 1/8 th of the distance.by what factor should the hare increase its speed so as it to tie the race?
5
8
37.80
40
please explain
Read Solution (Total 5)
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- assume tortoise as T
hare as H
T upon covering 1/5th,H starts running!
after H covered 1/8 that is T covered 7/8 they meet.
let the time when H starts to when he reaches at 1/8th of the total as 't',that is equal to T's covering of (7/8-1/5)=27/40
T covers 27/40 at 't' time.
then T covers remaining 1/8th in (40/27)t/8 t=5/27t
now in this time H has to reach the finishing point.
initially H goes 1/8th in t
then 7/8 th in 7t.
thus speed should be increased=7t/(5/27)t =37.8 :) - 14 years agoHelpfull: Yes(20) No(0)
- 37.80
- 14 years agoHelpfull: Yes(2) No(6)
- The trick for this question is that the answer with the decimal is wright because the software for the online written paper of TCS has some flaw which gives a decimal in this question. But it’s not with other questions.
so the answer is 37.80 - 13 years agoHelpfull: Yes(1) No(1)
- As here when hare start the race tortoise has cover 1/5 th of distance.
at the point when they meet hare cover 1/8 and tortoise cover 7/8 of the distance.
the distance travel by tortoise when hare cover its 1/8 distance = 4/5-1/8
= 27/40.
let speed of tortoise is t and hare is h before the point they meet then.
27/40t=1/8h
t= 27/5h
after the point they meet distance travel by tortoise is 1/8 and by hare is 7/8 to finish the race
let new speed of hare= H( after the point when they meet)
tortoise=t
7/8H=1/8t
H=7t
H=7*27/5h
H=189h/5
H=37.8h
- 13 years agoHelpfull: Yes(1) No(0)
- d=100
2*pie*r=314.15
h covers=.5*314.15=62.83
they both meet at=.8*314.15=39.26
so
h need to cover 212.06(314.15-(62.83+39.26)) at t
1 at t/212.o6
39.26 at 39.26t/212.06----------A
again similarly
for T
39.26 covers at t
1 covers at t/39.26
314-39.26=274.89 covers at .. 274.89t/39.26.........B
divide equation B/A= 37.80 - 14 years agoHelpfull: Yes(0) No(3)
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