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Two pirate scouts, from different ships, discover an enormous treasure trove at the same time. The trove is located between the two ships, but the scout from Ship A is only  from his ship while the scout from Ship B is  from her ship. There are  pieces of treasure in the trove and each rowboat from ship A can only carry  pieces at a time without sinking.

Assume that both scouts start at the treasure trove and return to their ships empty-handed. Ship A has two rowboats and all pirates from Ship A will row with the same constant speed. Ship B has one rowboat and the pirates from Ship B will all row with the same constant speed of  If a rowboat from Ship B catches up to a rowboat from Ship A, they will overpower the pirates and capture the treasure!

 

What is the minimum speed at which pirates from Ship A can row in order to prevent the other pirates from stealing any of the loot?

 
 Oct 4, 2020

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