Logic Puzzles

## Find The Distance

Difficulty:

A man named Jones set out to walk from A to B, and
on the road he met his friend Kenward, ten miles from A, who had
left B at exactly the same time. Jones executed his commission
at B and, without delay, set out on his return journey, while Kenward
as promptly returned from A to B. They met twelve miles
from B. Of course, each walked at a uniform rate throughout. How
far is A from B?

I will show the reader a simple rule by which the distance may be found by anyone in a few seconds without the use of a pencil. In fact, it is quite absurdly easy - when you know how to do it.

I will show the reader a simple rule by which the distance may be found by anyone in a few seconds without the use of a pencil. In fact, it is quite absurdly easy - when you know how to do it.

The distance between the two places must have been 18 miles. The meeting
points were 10 miles from A and 12 miles from B. Simply
multiply 10 (the first distance) by 3 and deduct the second distance, 12.
Could anything be simpler? Try other distances for the meeting points (taking
care that the first meeting distance is more than two-thirds of the second) and
you will find the little rule will always work.

See also:

• A Weird Game (Difficulty: 5)

• Ancient Problem (Difficulty: 3)

• Riding In The Wind (Difficulty: 4)

• Reductions In Price (Difficulty: 2)

• The Dispatch Rider (Difficulty: 2)