There are three cars in a racing track. The track is made forming a perfect circle and is quite wide so that at one time, multiple cars can pass through it. The car which is leading is driving at 55 MPH and the slowest car is driving at 45 MPH. The car that is in middle of these two is driving in between the two speeds. For the time being you can say that the distance between the fastest car and the middle car is x miles and it is same between the middle car and the slowest car. Also, x is not equal to 0 or 1. The car keeps running till the leading car catches up with the slowest car and then every car stops. Given the case, do you think that at any point, the distance between any two pairs will again become x miles?
A teacher is told that the principal of the school will be inspecting his class on the next day. Now, the teacher is worried for the impression that his class might cast on the principal since all the students are not intelligent. Also, the principal can ask questions from anywhere. However, he will have the power to choose any student for answering the question. Now he wants that the principal must be impressed with the performance of his class. What will he do to maximize the final impression on the principal ?