Logic Puzzles

To Catch A Thief


Difficulty:

Some time back while in England I watched a case in a criminal court. A man was being accused of having stolen certain valuable jewels and trying to run away with them, when he was caught by a smart police officer who overtook him.

In cross examination the lawyer for accused asked the police officer how he could catch up with the accused who was already seven steps ahead of him, when he started to run after him. 'Yes Sir.' The officer replied. 'He takes eight steps to every five of mine!

'But then officer,' interrogated the lawyer, 'how did you ever catch him, if that was the case?'

'That's easily explained sir,' replied the officer, 'I got a longer stride... two of my steps equal in length to his five. So the number of steps I required were fewer than his, and this brought me to the spot where I captured him.'

A member of the jury, who was particularly good at quick calculations did some checking and figured out the number of steps the police officer must have taken.

Can you also find out how many steps the officer - needed to catch up with the thief?

ANSWER

The Police Officer took thirty steps. In the same time the thief took forty-eight, which added to his start of twenty-seven, carried fiim seventy-five steps. This distance would be exactly equal to thirty steps of the Police Officer.


See also:
Reductions In Price (Difficulty: 2)
Buying Turkeys (Difficulty: 2)
Brothers And Sisters (Difficulty: 3)
A Dreamland Clock (Difficulty: 3)
A Square Family (Difficulty: 2)

Logic Puzzle: To Catch A Thief

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