The cold faucet in my bath let’s the water in at the rate of 5 liters per minute.the hot faucet fills the bath at the rate of 10 liters per minute.the plug lets the water out of the bath at the rate of 12 liters per minute.the bath holds a maximum of 520 liters.i turn both faucets on,but forget to put the plug in.how many minutes does it take for the bath to overflow?

It is given in the question that

Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle.

First we have to check out triangle inequality theorem, which is sum of two sides of a triangle must be greater then the third side .

But here the sum of two pieces of the cutted dowel is equal to the lenth of the first dowel.

SO here triangle inequality theorem is not following .

Hence , Ruben will not be able to make a triangle with his three pieces.