For The Mathematically Inclined

PROBLEM #2

A large tank has a steadily flowing intake and 10 outlet valves, the latter being all of the same size. With 10 outlets open, it takes two and one half hours to empty the tank; with 6 outlets open it takes five and one half hours to empty the tank. After the tank is empty and with all 10 outlets closed, how long will it take to fill the tank?

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Problems from 05/09/13

PROBLEM #1
What is the value of [3 - (6 - 5(3 - 4) + 4)] + 6 ?

SOLUTION 1
-6.

PROBLEM #2
What 5-digit number has the following features:

If we put the number 1 at the beginning, we get a number three times smaller than if we put the number 1 at the end of the number.

SOLUTION 2
42,857.

Congratulations to Kishore Balsara, Abhimanyu Bhargava and Saba Lateef, who were the winners of the last set of puzzles.