A dog takes 22 leaps for every 17 leaps of cat and 22 leaps of a dog are equal to 17 leaps of the cat. What is the ratio of the speeds of dog and cat?
(a) 1 : 1
(b) 484 : 289
(c) 17 : 22
(d) 22 : 17
(e) none of these
Answers
22×17 : 22×17
1 : 1
option (A.) 1:1 will be the answer
The ratio of the speeds of dog and cat = 1:1
Given:
A dog takes 22 leaps for every 17 leaps of cat
22 leaps of a dog are equal to 17 leaps of the cat.
To Find:
The ratio of the speeds of dog and cat?
Solution:
Let say in time t cat takes 17 leap
A dog takes 22 leaps for every 17 leaps of cat
hence in time t dog takes 22 leap
Hence Distance covered by cat in time t = 17 leap of cat
Distance covered by dog in time t = 22 leap of dog
22 leaps of a dog are equal to 17 leaps of the cat.
Hence Distance covered by both cat and dog is same in time t
Speed = Distance / Time
Distance and time are same hence speed of cat = Speed of Dog
=> The ratio of the speeds of dog and cat = 1:1
Correct option is a) 1: 1
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