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A cat takes 7 steps for every 5 steps of...

A cat takes 7 steps for every 5 steps of a dog, but 5 steps of a dog are equal to 6 steps of cat.What is the ratio of speed of cat to that of dog?

A

`24:25`

B

`42:25`

C

`24:19`

D

`25:42`

Text Solution

Verified by Experts


But the length of 5 steps of dog = length of 6 steps of cats
It means the ratio of length covered by dog is to cat = 6/5
Therefore, in each step a dog will cover 6/5 times distance than that of a cat.
Thus the ratio of actual speed of cat is to dog < br> = 7 : 5 xx 6/5 = 7 : 6
Alternatevily Actual speed of A : B
= (Given speed of A)/(no. of steps of A in terms of length )
(Given speed of B)/(no. of steps of B in terms of length)
CAT : DOG = 7/6 : 5/5 = 7:6
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