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.

ANSWER

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)

Logic Puzzle: Find The Distance

Logic puzzles are loved by both children and adults. They develop logic, the ability to analyze and summarize data, look for possible solutions, form a strategy, and check data for reliability. Trying to solve a logical task, a person uses different variants of logical schemes, thereby increasing the knowledge available to him.

A variety of logic puzzles are mathematical puzzles that require not just the inclusion of logical thinking, but also knowledge of the laws of mathematics.

You can find logical and mathematical puzzles with answers on our website. Solving riddles and puzzles is a great pastime for those who like to think.