A dog is chasing a rabbit. Initiallythey are 400 leaps of dog. The time taken by dog totake 4 leaps is equal to 6 leaps taken by rabbit inthat time. Rabbit covers 1.5 m in 1 leap and dogcovers 2.5 m in 1 leap. In how many leaps will thedog catch the rabbit?A dog follows a rabbit. Between the twoThe distance of the dog is 400 leap. 6 jump by rabbitThe time taken to apply the dog's 4 jumpsTime is equal. Rabbit 1.5 meters in a jumpDetermines while the dog is 2.5 meters in a jumpFixes Dog to catch the rabbitHow much leap will have to do?
Answers
Given : A dog is chasing a rabbit. Initially they are 400 leaps of dog.
The time taken by dog to take 4 leaps is equal to 6 leaps taken by rabbit in that time.
Rabbit covers 1.5 m in 1 leap and dog covers 2.5 m in 1 leap.
To Find : In how many leaps will the dog catch the rabbit
Solution:
initial Distance = 400 leaps of dog
1 leap of dog = 2.5 m
Hence Initial Distance = 400 * 2.5 = 1000 m
Let say n leaps of dog , dog catch the rabbit.
4 leap of dog = 6 leap of rabbit
(4 * 2.5 = 10 m) of dog = (6 * 1.5 = 9 m) of Rabbit
=> for every 4 leap of dog , dogs cover 10 - 9 = 1 m extra distance
=> 4 * 1000 = 4000 leap of dog , dog will cover = 1000 m extra distance
Hence 4000 leap of dog
in 4000 leaps the dog will catch the rabbit
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