The missing piece via a puzzle

There are numerous ways to explore one’s ability, such as face-to-face interviews, numeracy/verbal tests, and add/minus/multiply/divide specific ones (sequences) -- are good at testing one’s technical perspective. Sadly, I admit that puzzle-based interview questions have little sense (if at all) related to the job that I am applying. Puzzle is an excellent way to train your brain, imagination, and mental vitality because it usually doesn’t have an obvious solution, and everybody’s approaches to them are different. Have you ever had a situation when you couldn’t solve a particular one whatever you tried, while everyone else in the office topples it? Imagine you’ve offered 10 of them in a classroom, 3 minutes each, you must be saying that 3 minutes could be rather short. But just before you start, think about where did they come from, books, internet or from forwarded emails? You may have answers to some of them already! Puzzles are often hard to construct and most of them are replicas from various sources thus give an unfair playing field to candidates. Right after the assessment you’ll hear about how many of them have already been seen by people who sit next to you.

These two were both appeared in my assessment. I found them on internet.

3 Hats

There are 3 black hats and 2 white hats in a box. Three men (we will call them A, B, & C) each reach into the box and place one of the hats on his own head. They cannot see what color hat they have chosen. The men are situated in a way that A can see the hats on B & C's heads, B can only see the hat on C's head and C cannot see any hats. When A is asked if he knows the color of the hat he is wearing, he says no. When B is asked if he knows the color of the hat he is wearing he says no. When C is asked if he knows the color of the hat he is wearing he says yes and he is correct. What color hat and how can this be?

Racing

The track I will be going to is one mile long. Before they actually race, the riders get to take some practice laps to get the bikes tuned up. A rider goes out and runs one practice lap at 60 miles per hour. Then he takes the bike into the pits, makes some adjustments, and goes back out and runs another lap, this time at 90 miles per hour.
What is the average speed of the motorcycle for the two laps together?

Answer: Available on internet.