'Mathematics is the Queen of the Sciences'

~Carl Friedrich Gauss~

APRIL 18 QUESTIONS

Question 1- THE FLY AND THE TRAINS

Two trains are 200 km apart, and travelling towards each other at 50 km/hour each.

From one train a fly takes off, flying straight above the rails to the other train at the speed of 75 km/hour, bounces off it and flies back to the first train.

This is repeated till the trains crash together and the fly is smashed (Headline: Fly Dies in Freak Train Crash).

What distance is the fly able to fly until it meets its tragic end?

Note: There is a complicated and an easy way to solve this one.

Question 2

If the difference of two numbers is 8 and their product is 16, what is the sum of their squares?

Note: Answers to the questions above will be published after the 30th of April 2007.

Note: Questions on the left are for the students of TUIS and people who are interested in mathematics.

If you have any answers, send your solutions to the following email address or submit them to your Maths teacher.

E-mail: reyhanyildirim@hotmail.com