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The slug and the snail (Posted on 2008-10-27) Difficulty: 2 of 5
A slug and a snail decided to settle a long-standing argument as to who was the best sprinter. So they planned a race between two stones set a distance D cm apart. Said the slug to the snail:

- "Since I'm slimier than you, I intend to start T seconds before you".

- "In that case," said the snail, who was rather slow, "I'm going to give you X cm start" (the snail stays at the stone, and the slug starts from X cm ahead.)

It didn't matter. The slug, who could move at speed V cm/sec, was only half as fast as the snail. The result was a dead heat, t seconds after the slug set off.

Now, D, t, T, V and X were all whole numbers from 1 to 10 inclusive, no two numbers being the same.

How long did it take the snail to reach the finish?

See The Solution Submitted by pcbouhid    
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Solution a solution | Comment 1 of 7
The distance (D) between the two stones was 10 cm.
The slimy slug's starting point (x) was 2 cm ahead of the snail, and began his pace (V) of 1 cm/sec toward the finish.
After 3 seconds (T) of the slug's forward ooze, the snail, also, headed toward the second stone.
With a total of 8 seconds (t) of trailing slime, the slug reached the second stone, and the snail having travelled 5 seconds reached the same stone at the same time.

D=10
t=8
T=3
X=2
V=1


  Posted by Dej Mar on 2008-10-27 20:53:42
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