Y _ _
C _ N
G _ T
8 3 3
_ P P L _ S
T _
B _ N _ N _ V _ L L _ .
F _ R S T
Y _ _
H _ V _
T _
M _ K _
3
T R _ P S
_ F
1 , 0 0 0
_ P P L _ S
F _ R
3 3 3
M _ L _ S .
Y _ _
W _ L L
B _
L _ F T
W _ T H
2 , 0 0 1
_ P P L _ S
_ N D
6 6 7
M _ L _ S
T _
G _ .
N _ X T
Y _ _
H _ V _
T _
T _ K _
2
T R _ P S
_ F
1 , 0 0 0
_ P P L _ S
F _ R
5 0 0
M _ L _ S .
Y _ _
W _ L L
B _
L _ F T
W _ T H
1 , 0 0 0
_ P P L _ S
_ N D
1 6 7
M _ L _ S
T _
G _
( Y _ _
H _ V _
T _
L _ _ V _
_ N
_ P P L _
B _ H _ N D ) .
F _ N _ L L Y ,
Y _ _
T R _ V _ L
T H _
L _ S T
1 6 7
M _ L _ S
W _ T H
_ N _
L _ _ D
_ F
1 , 0 0 0
_ P P L _ S
_ N D
_ R _
L _ F T
W _ T H
8 3 3
_ P P L _ S
_ N
B _ N _ N _ V _ L L _ Clue
YOU CAN GET 833 APPLES TO BANANAVILLE. FIRST YOU HAVE TO MAKE 3 TRIPS OF 1,000 APPLES FOR 333 MILES. YOU WILL BE LEFT WITH 2,001 APPLES AND 667 MILES TO GO. NEXT YOU HAVE TO TAKE 2 TRIPS OF 1,000 APPLES FOR 500 MILES. YOU WILL BE LEFT WITH 1,000 APPLES AND 167 MILES TO GO (YOU HAVE TO LEAVE AN APPLE BEHIND). FINALLY, YOU TRAVEL THE LAST 167 MILES WITH ONE LOAD OF 1,000 APPLES AND ARE LEFT WITH 833 APPLES IN BANANAVILLE JIM AND WANDA HAVE 7 AND 5 APPLES RESPECTIVELY. TO SOLVE USING MATHS, LET J AND W BE THE NUMBER OF APPLES OF JIM AND WANDA RESPECTIVELY. IF JIM GIVES WANDA AN APPLE, THEY WILL BOTH HAVE THE SAME NUMBER OF APPLES: W + 1 = J - 1 IF WANDA GIVES JIM AN APPLE, JIM WILL HAVE TWICE AS MANY AS WANDA: 2(W - 1) = J + 1 SOLVING THE EQUATIONS WILL GIVE J=7 AND W=5 THE HORSE OPERATES A MILL AND TRAVELS IN A CIRCULAR CLOCKWISE DIRECTION. THE TWO OUTSIDE LEGS WILL TRAVEL A GREATER DISTANCE THAN THE TWO INSIDE LEGS THE MESSENGER HAS TO HAVE TRAVELED 2 KM. IT DOESN'T MATTER WHAT SPEED THEY WALKED AT. AT THE BEGINNING OF THE PUZZLE, THE LINE IS 1 KM LONG. THE GENERAL IS THEREFORE 1 KM AHEAD OF HIM. THE MESSENGER MUST THEREFORE TRAVEL MORE THAN 1 KM TO REACH THE GENERAL. SINCE THE LINE MOVES 1 KM FORWARD, THE END IS WHERE THE BEGINNING WAS. EVEN IF HE WALKED 1.5 KM TO THE GENERAL, HE ONLY HAS TO WALK 0.5 KM TO GET BACK TO THE END OF THE LINE. IT GOES FASTER GOING BACK, BECAUSE NOW THEY ARE COMING TOWARDS HIM, AND NOT GOING AWAY