infy puzzle

the distance between police and thief is 27 steps when the police officer starts running after him.the time reqired by thief 2 take 8 steps=time required by officer 2 take 5 steps.
distance travelled by thief in 5 steps =distance travelled by officer in 2 steps.
how many steps the officer needed to catch up with the thief.?
Who is Participating?
I wear a lot of hats...

"The solutions and answers provided on Experts Exchange have been extremely helpful to me over the last few years. I wear a lot of hats - Developer, Database Administrator, Help Desk, etc., so I know a lot of things but not a lot about one thing. Experts Exchange gives me answers from people who do know a lot about one thing, in a easy to use platform." -Todd S.

is the distance between police and thief 27 theif steps, or 27 officer steps?
Guy Hengel [angelIII / a3]Billing EngineerCommented:

distance X = 1 unit
thief: 1 step = 1/5 units
officer: 1 step = 1/2 units

time T = 1 unit
thief: 8 steps/unit : 1 step = 1/8 units  
officer: 5 steps/unit : 1 step = 1/5 units

thief: 8 * 1/5 = 8/5 = 1,6  d/t
officer: 5 * 1/2 = 5/2 = 2,5  d/t

speed difference:
officer will gain 0.9 distance units / time unit
0.9 distance units = 1,8 officer steps / time unit
hence 27/1,8 = 45 time units for the officer to get the thief

Guy Hengel [angelIII / a3]Billing EngineerCommented:
good spot, ozo !!
Introducing the "443 Security Simplified" Podcast

This new podcast puts you inside the minds of leading white-hat hackers and security researchers. Hosts Marc Laliberte and Corey Nachreiner turn complex security concepts into easily understood and actionable insights on the latest cyber security headlines and trends.

If the distance is 27 theif steps, then it will take the officer 30 steps to catch the theif
I assume that the distance is 27 officer steps.

The officer's step takes t time and during that time he advances s.
The thief's step takes 5/8*t time and during that time he advances 2/5*s.
While the officer takes 1 step, the thief can take 8/5 steps, so he advances 8/5*2/5*s = 16/25*s
For each step of the officer the distance decreases by (1-16/25)*s = 9/25*s

So the distance can be taken by the officer by 27/(9/25) = 75 officer steps.

Experts Exchange Solution brought to you by

Your issues matter to us.

Facing a tech roadblock? Get the help and guidance you need from experienced professionals who care. Ask your question anytime, anywhere, with no hassle.

Start your 7-day free trial
It's more than this solution.Get answers and train to solve all your tech problems - anytime, anywhere.Try it for free Edge Out The Competitionfor your dream job with proven skills and certifications.Get started today Stand Outas the employee with proven skills.Start learning today for free Move Your Career Forwardwith certification training in the latest technologies.Start your trial today
Puzzles / Riddles

From novice to tech pro — start learning today.

Question has a verified solution.

Are you are experiencing a similar issue? Get a personalized answer when you ask a related question.

Have a better answer? Share it in a comment.