Interesting Puzzle in speed &distance.

[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?

[psuresh1982]

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..?

[jamesravid]

Exactly correct Answer. Very good work man.

I suggest you to post the solution.

[hsundar]

Distance is d then the equation to be solved is

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

which yields d = 17

[vignan]

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?

[dinesh0506]

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