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Interesting Puzzle in speed &distance.

This is a discussion on Interesting Puzzle in speed &distance. within the Brainteasers forums, part of the Brain Gym category; Anitha walks from her home to Temple and back home. Her brother Amuthan walks from Temple to their home and back to Temple. They both walk at constant speeds ( not ...


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Old 10-26-2006
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Interesting Puzzle in speed &distance.
Anitha walks from her home to Temple and back home. Her brother Amuthan walks from Temple to their home and back to Temple. They both walk at constant speeds ( not necessarily the same). They leave exactly at the same time and meet for the first time 7 Km from Temple. Each one continues on their way to their destination where they both trun around without any loss of time. They meet the second time 4 Km from their home.

What is the distance between Temple and their home?
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Old 11-06-2006
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Smile Re: Interesting Puzzle in speed &distance.
Quote:
Originally Posted by jamesravid View Post
Anitha walks from her home to Temple and back home. Her brother Amuthan walks from Temple to their home and back to Temple. They both walk at constant speeds ( not necessarily the same). They leave exactly at the same time and meet for the first time 7 Km from Temple. Each one continues on their way to their destination where they both trun around without any loss of time. They meet the second time 4 Km from their home.

What is the distance between Temple and their home?
I think the answer is 17Km...

Am i correct..?
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Old 11-06-2006
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Re: Interesting Puzzle in speed &distance.
Exactly correct Answer. Very good work man.

I suggest you to post the solution.
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Old 11-06-2006
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Re: Interesting Puzzle in speed &distance.
Distance is d then the equation to be solved is

d-7/7 = d+3/d-3

which yields d = 17
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Re: Interesting Puzzle in speed &distance.
Quote:
Originally Posted by hsundar View Post
Distance is d then the equation to be solved is

d-7/7 = d+3/d-3

which yields d = 17
Hi,

Can you explain the equation?
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