calculate the distances so that from 3 sled loads (3000 fish),
reduces to 2 charges, then to 1 charge
Step 1
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5 round trips required to carry 3 loads halfway
travel 200 km.
bear eats 5*200 = 1000
2000 remaining, as expected
2nd step
———–
3 round trips needed to carry 3 loads halfway
move 333 1/3 mi further
bear eats 3* 333 1/3 = 1000
1000 remaining as expected
step 3
———–
bear has traveled 533 1/3 mi and needs to travel 466 2/3 mi more
no round trip is now required,
so the bear ends up with
1000 – 466 2/3
= 533 1/3 fish
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