A dog at point $A$ goes in pursuit of a fox $40$ m away. The dog takes a leap of $2$ m against $1$ m long leap of the fox. If the dog makes two leaps to the fox's three at what distance from A will the dog catch up with the fox ?

150

No worries! We‘ve got your back. Try BYJU‘S free classes today!

160

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

105

No worries! We‘ve got your back. Try BYJU‘S free classes today!

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $160$ m
Distance per leap of dog $= 2 m$
Distance per leap of fox $= 1 m$
Dog takes 2 leaps and fox takes 3 leaps in the same time
Distance covered by dog in 2 leaps $= 2 \times 2 = 4 m$
Distance covered by fox in 3 leaps $= 1 \times 3 = 3 m$
In two leaps of dog distance reduces by $= 4 m - 3 m = 1 m$
No of leaps required by dog to cover the gap of 40 m $= 40 \times 2 = 80$
Distance covered by dog in 80 leaps $= 2 \times 80 = 160 m$
Hence the dog will catch up with the fox at $160$ m from A.

Suggest Corrections

Similar questions

A cat is 25 leaps away from a dog. The dog notices the cat and starts in hot pursuits. The dog makes 5 leaps and cat makes 6 leaps per minutes and one leap of the dog is equal to 2 leaps of the cat. The time in which the dog catches the cat is:

Q. Choose the correct answer from the alternatives given :
A dog after seeing a cat finds that the cat is 25 leaps ahead of the dog. Cat after seeing the dog starts running and the dog chases the cat. If in every minute, dog takes 5 leaps while cat takes 6 leaps and I leap of dog is equal to 2 leaps of cat, in how many minutes will dog catch the cat?

A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?

A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is?

Q. A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of the dog are equal to 4 leaps of the hare. Find the ratio of their speeds.

Join BYJU'S Learning Program

A dog at point A goes in pursuit of a fox 40 m away. The dog takes a leap of 2 m against 1 m long leap of the fox. If the dog makes two leaps to the fox's three at what distance from A will the dog catch up with the fox ?

A dog at point $A$ goes in pursuit of a fox $40$ m away. The dog takes a leap of $2$ m against $1$ m long leap of the fox. If the dog makes two leaps to the fox's three at what distance from A will the dog catch up with the fox ?