VeritasPrepKarishma wrote:
ronr34 wrote:
VeritasPrepKarishma wrote:
time in which hare takes 6 leaph = time in which jackal takes 5 leapj
time in which hare takes 8 leapj = time in which jackal takes 5 leapj
Can someone explain this?
I didn't get why these lines are the same
The question is not very clear - as I said before - it is a very popular CAT question and people have come to understand what it means. Actually, this is what the question means:
A hare and a jackal are running a race. The distance covered by the hare in three leaps is equal to the distance covered by the jackal in four leaps. In the time that the hare takes six leaps, the jackal takes 5 leaps. Find the ratio of their speeds.
Size wise, 3 leaps of hare = 4 leaps of jackal
3 leaph = 4 leapj
6 leaph = 8 leapj
6 leaps of hare will be equal in distance to 8 leaps of jackal.
In the time that the hare takes six leaps, the jackal takes 5 leaps.
When the hare takes 6 leaps, they are equal to 8 leaps of jackal. In the same time, the jackal takes 5 leaps.
So in the same time, the hare and the jackal take 8 and 5 leaps respectively of equal size. So the distance they will cover in the same time will be in the ratio 8:5. So their speed will be in the ratio 8:5.
Responding to a pm:
Quote:
what i can understand from stem that
distance hare covers =3units while at same Jackle will cover 4units
and time taken similarly is 6units by hare and thus 5 units by jackle
thus deducing the ratio of speed as distance /time
for hare D/T=3/6 and jackle it be 4/5
and hare /Jackle ==3/6*5/4==15/24==5/8 and marked 5/8 instead 8/5..
Please clear why i m wrong here??
"distance hare covers =3units while at same Jackle will cover 4units"
- Not correct.
"The distance covered by the hare in three leaps is equal to the distance covered by the jackal in four leaps." means
|------|------|------| 3 leaps of hare
|-----|----|----|----| 4 leaps of jackal
Distance covered is the same. Jackal has a smaller leap.
Also, I am not sure what you mean by:
"time taken similarly is 6 units by hare and thus 5 units by jackal"
Actually, the time in which the hare takes 6 leaps, the jackal takes only 5. So again hare is faster.
Check out the solution given above.