You need to transport a large amount of sugar (several thousand pounds) 1000 mil

Question

                    You need to transport a large amount of sugar (several thousand pounds) 1000 miles across a desert. The only way of carrying                     this sugar is by using a mule that can carry a maximum of 1000 lbs at a time. The mule has a sweet tooth and has the annoying habit of eating sugar at the rate                     of 1 lb per mile. The mule is also very stubborn and absolutely refuses to move in any direction whatsoever unless it has sugar to eat                 

                    Restrictions:                 

                    Only the mule can carry the sugar.                 

                    You cannot load more than 1000 lbs on the mule at any one time.                 

                    If the mule is going to move at all it must have sugar on its back to eat                 

                    Mule and Sugar Brainteaser part 2                 

                    Now that you have seen how to get some of the sugar across the desert, try to calculate how much sugar can be transported if                     you break the trip up into smaller legs.                 

                    a. Do this for 4 legs each 1/4 of the total                     distance, 5 legs each 1/5 of the distance, 6 legs each 1/6 of the distance and 7 legs each 1/7 of the distance.                 

                    b. You should see a pattern emerging from your                     calculations in part a. Can you use your results from part a. to find a formula for the amount of sugar that can be transported if you break the trip into n                     legs each 1/n of the total distance?                 

                    c. You may make the assumption that the total amount                     of sugar is such that it

Explanation / Answer

we can do like this.

load 1000 lb.

after 10 miles put 50 lb on ground.

after 10 more miles put another 50 lb on ground.

do this ten times till 250 miles and return to starting point.

(50*10+250+250=1000!)

now again load 1000 lb.

this time load such that total is 50 , we go farther(<500 miles of course)

again load 1000lb and do so.

after some time mule reaches other end with say some lbs

now , it comes back and collects till it reaches 1000 lb and goes back.

doing so is the best way to get the sugar across the desert.

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