Mathematics Week
2004                                                                       

                                                                       

 

 

 

 

 

WEDNESDAY QUESTION
Answers to all four questions (Mon-Thu) are to be placed in boxes outside the SRC on Friday before 4pm.
$100 prize for first correct answers drawn.

 

For students enrolled in MATHS 100-level

 

THE CAT IN THE TUNNEL

A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A.

When the train is some distance from the tunnel, it sounds its whistle, and the cat starts to move.

If the cat moves to the entrance to the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit, B, the train catches the cat at exactly the exit.

How many times faster is the train going than the cat?