Synchronize the clock

Guys,

Well, lets try to solve some interesting puzzles.

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.

Answer : Basic idea to solve this puzzle is to find out the time required to travel up the hill with horse. Once we have this, we can synchronize the clock at the top of hill with clock at bottom plus time required to travel from bottom to top with horse.
To obtain this time, setup 4 equations,
i) Time required for uphill with horse + time required for downhill with horse = w,
ii) Time required for uphill without horse + time required for downhill without horse =x,
iii) Time required for uphill with horse + time required for downhill without horse = y,
iv) Time required for uphill without horse + time required for downhill with horse = z.
Solve these four equation, involving 4 variables, you will get time required to travel uphill with horse.

Pretty simple? Huh? :)