Saturday, December 15, 2001
M I N D  G A M E S


Expert gets stuck
Aditya Rishi

"GOOD morning viewers and welcome to the live telecast of the race to decide the heir to the throne of the jungle. I am your friend and commentator, Martin ‘the crow’, and here’s our expert, Allan ‘the lamb’, and together we’ll bring you pictures of this rare event. Allan, it’s good to see you."

An expert problem-solver must be endowed with two incompatible qualities, a restless imagination and a patient pertinacity.

— Howard W. Eves

"Good to see you, too, Martin. The last time we met, you were thirsty, sitting by a pitcher and throwing pebbles into it." "Yeah, it helped me a lot." "I doubt. I would have advised you to break the pitcher and let the water flow out." "Why?" "Because might is right, Martin."

"We’ll discuss that later, Allan, but first, we should tell our viewers the reason why this race is being held." "Martin, the lion king wants to choose a heir to his throne and the ideal candidate should be the fastest runner in the jungle." "Allan, what happened in the preliminary races before this final?" "Well, Martin, surprise, surprise. The final will be between Daryl ‘the hare’ and Rahul ‘the tortoise’." "Allan, I want the tortoise to win because he is gentle." "Martin, in situations like these, you should go with the expert and I say that the hare will win." "What if the tortoise wins?" "I’ll wake you up from the dream, Martin." "You are proud, Allan." "Because I am the expert, Martin." "Even experts get stuck sometimes." "Not I."

 

The crow: "Meanwhile, the race has begun. The sportive young hare and the tortoise race in opposite directions around this circular track that is 100 yards in diameter. They start at the same spot, but the hare does not move until the tortoise has a start of one eighth of the distance (the circumference of the circle). The hare has such a poor opinion of his opponent’s racing ability that he saunters along, nibbling the grass until he meets the tortoise. At this point, the hare has gone one sixth of the distance. We have reached a very delicate point of the race now and our expert, Allan ‘the lamb’, will tell us how many times faster than he went before must the hare now run in order to win the race? Over to you, Allan"

"Allan… Allan… Allan." "Don’t shout Martin, I can hear you, but I don’t have the answer." "Well, viewers, we’ll see you after a break." Off camera: "What do you mean you don’t have the answer. Didn’t you say you were the expert?" "Expert commentator not expert mathematician."

On camera: Martin: "So, it is simple mathematics as you say, Allan. You say that the diameter of the circular track has no bearing on the problem." "That’s exactly what I am saying, Martin." "You also say that when they meet, the hare has gone 1/6 of the way, while the tortoise has gone 17/24. The tortoise has, therefore, been moving 17/4 times as fast as the hare. The hare has 5/6 of the distance yet to go as compared to 1/6 for the tortoise, so the hare must go five times faster than the tortoise, or 85/4 times faster than he went before." "Yes Martin." "Lovely analysis Allan, but the news from the track is that the tortoise has won. As I was saying, where there is a will, there is a way."