There is a clock at the bottom of the hill and a clock at the top of the hill. The clock at the bottom of the hill works fine but the clock at the top doesn't. How will you synchronize the two clocks.?

Obviously, you can,t carry either of the clocks up or down the hill! And you have a horse to help you transport yourself. And, the time required for going up the hill is not equal to the time required to go down the hill.

## 3 comments:

You have to go up the hill and come back, with horse, without horse, getting four equations to solve four unknowns - time to go uphill - with horse, without horse, time to go downhill - with horse, without horse. Then you can go up the hill and set the clock to ,(time when you left) + (time to go uphill with horse)

I believe this puzzle cant be solved!!!! How can there be four equations in this scenario???

Lets assume it takes 1 hour total for a round trip with horse & 3 hours for a round trip omn foot. This gives us only 2 equations:

Variables:

TUH = Uphill time with horse

TDH = Downhill time with horse

TU = Uphill time without horse

TD = Downhill time without horse

Equations:

TUH + TDH = 1

TU + TD =3

Plz let me know if I'm missing something.

Amit Bhatt

amitprbhatt@gmail.com

here we can assume that down clock has time T and the diff between upper clock and down clock is t.

Now

TUH = Uphill time with horse

TDH = Downhill time with horse

TUF = Uphill time without horse

TDF = Downhill time without horse

firstly we will go to with horse then we know about t+TUH

then we will come down we know about TUH+TDH

without horse up t+TUF

withour horse down TUF+TDF

there are 4 equation 5 unknowns but we can make 2 more equations

we go up with horse and come wihout horse then we know about TUH+TDF

similary TUF+TDH

6 equations 5 unkown...

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