Type 17: Dog and Rabbit – Leap-Based Questions

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Q. A dog takes 3 leaps in the same time that a rabbit takes 4 leaps. Also, 2 leaps of the dog are equal to 3 leaps of the rabbit. Find the ratio of their speeds.

Formula:

If the dog covers the same distance in n₁ leaps and the rabbit in n₂ leaps, and:

a leaps of dog = b leaps of rabbit

Then,

Speed Ratio (Dog : Rabbit) = (n₂×a) : (n₁×b)

Solution:

Here,

• n₁ = 3,  n₂ = 4,  a = 2,  b = 3

Therefore,

Speed Ratio = (4×2) : (3×3) = 8:9

Ans: Dog : Rabbit = 8 : 9

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TYPE 17: Dog & Rabbit Leap — Practice Set

Q1. A dog takes 4 leaps in the same time that a rabbit takes 5 leaps. If 3 dog leaps are equal to 4 rabbit leaps, what is the ratio of their speeds ?

(A) 15 : 16  (B) 16 : 15  (C) 12 : 15  (D) 5 : 4

Q2. A dog takes 5 leaps in the same time that a rabbit takes 6 leaps. If 2 dog leaps are equal to 3 rabbit leaps, find the ratio of their speeds.

(A) 4 : 5  (B) 5 : 4  (C) 15 : 12  (D) 10 : 9

Q3. A dog takes 3 leaps in the same time that a rabbit takes 5 leaps. If 4 dog leaps are equal to 5 rabbit leaps, what is the ratio of their speeds ?

(A) 4 : 3  (B) 3 : 4  (C) 15 : 20  (D) 5 : 4

Q4. A dog takes 6 leaps in the same time that a rabbit takes 5 leaps. If 3 dog leaps are equal to 2 rabbit leaps, find the ratio of their speeds.

(A) 4 : 5  (B) 5 : 4  (C) 12 : 15  (D) 3 : 2

Q5. A dog takes 4 leaps in the same time that a rabbit takes 7 leaps. If 5 dog leaps are equal to 8 rabbit leaps, what is the ratio of their speeds ?

(A) 32 : 35  (B) 35 : 32  (C) 20 : 28  (D) 4 : 7

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