Of Dogs & Holes

Level 2

5 5 dogs dig 5 5 holes in 5 5 days.
In how many days will 10 10 dogs dig 10 10 holes?

This is a problem of my set Trickster Returns .


The answer is 5.

Ameya Salankar by Ameya Salankar , 23, India

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2 solutions

Ameya Salankar
May 9, 2014

5 5 dogs can dig 5 5 holes in 5 5 days. The other 5 5 dogs will do the same with the other 5 5 holes. The task will be completed in 5 5 days.

Therefore, the answer is 5 \boxed{5} .

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Skanda Guruanand
Feb 19, 2015

5 dogs can dig 1hole/day. So 10 dogs can dig 10(1/5) holes/ day. So to dig 10 holes, it takes 10/10(1/5) = 5 days!

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