ABC26GN3573 · Time and Distance

Subject: General Aptitude · Chapter: Time and Distance · Exam: 2007 · Marks: · Difficulty:

A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds.
Answer
Answer (as printed):
Explanation
Let the distance covered in 1 leap of the dog be x and that covered in 1 leap of the hare be y. 4 16 Then, 3 x = 4 y ⇒ x = y ⇒ 4 x = y. 3 3 ∴ Ratio of speeds of dog and hare = Ratio of distances covered by them in the same time 16 16 = 4x : 5y = y : 5y = : 5 = 16 : 15. 3 3

Explanation as extracted from the printed page; notation may be imperfect.

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