# Thread: Interesting Puzzle in speed &distance.

1. ## 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?

2. ## Re: Interesting Puzzle in speed &distance.

Originally Posted by jamesravid
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..?

3. ## Re: Interesting Puzzle in speed &distance.

Exactly correct Answer. Very good work man.

I suggest you to post the solution.

4. ## 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

5. ## Re: Interesting Puzzle in speed &distance.

Originally Posted by hsundar
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?

6. ## Re: Interesting Puzzle in speed &distance.

Originally Posted by vignan
Hi,

Can you explain the equation?
Well... i tried the using a similar equation. that gave me 17.

lets say distance betn temple and home is d.
find the ratio of their distance travelled. for 7 km its... (d-7)/7
next time when they meet, its 4 km... (2d-4)/(d+4)

solve the eqn... (d-7)/7 = (2d-4)/(d+4)
u ll get d=17

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