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Geography. Please help!?

An ant and honey are on a perfect sphere , miraculously suspended in mid-air. The radius of the sphere is 5cm.

The drop of honey is at the north pole of the sphere, moving towards the south pole at a constant speed of 1.5 cm/s (for no good reason ... gravity would neither account for the drop leaving its cosy northern spot, nor for the constant speed) and stops as soon as it arrives there (unless eaten prior to that).

The ant sits at the equator, unfortunately on the opposite side of the drop's path . It decides for the shortest intercept route and sets off immediately.

When and at which latitude will the ant catch the drop?

I forgot to mention the ants speed: 2.5 cm/ second. My apologies! :)

1 Answer

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  • 9 years ago
    Favorite Answer

    I'm guessing about 20 deg S. Lat, in 6.39 seconds

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