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Problems from Another Time

Individual problems from throughout mathematics history, as well as articles that include problem sets for students.

Two bicyclists travel in opposite directions around a quarter-mile track and meet every 22 seconds. When they travel in the same direction on this track, the faster passes the slower once every 3 minutes and 40 seconds. Find the rate of each rider
Two merchants, A and B, loaded a ship with 500 hhds (hogshead) of rum; A loaded 350 hhds, and B the rest; in a storm the seamen were obliged to throw overboard 100 hhds; how much must each sustain of the loss?
Having been given the perimeter and perpendicular of a right angled triangle, it is required to find the triangle.
The king of France entered into a battle and was defeated. How many soldiers did he have before he was defeated?
A water tub holds 73 gallons; the pipe which fills it usually admits 7 gallons in 5 minutes; and the tap discharges 20 gallons in 17 minutes.
What is the perpendicular height of a cloud when its angles of elevation were 35 degrees and 64 degrees as taken by two observers at the same time...
In a square box that contains 1000 marbles, how many will it take to reach across the bottom of the box in a straight row?
When knowing the sum of their ages along with another equation, determine how old a father and son are.
The authors recount the 'great tale' of Napier's and Burgi's parallel development of logarithms and urge you to use it in class.
A man, woman, and two boys desire to cross a river, but their boat has weight restrictions!

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