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(Assume that the clock hands move continuously.) There are a few ways of solving this one. The given situation (when the hour and minute hands overlay) occurs in 12 hours exactly 11 times after the same time.So it's easy to figure out that 1/11 of the clock circle is at the time ,273 and so the seconds hand is right on 27,273 seconds.So a smaller man can go under it and a bigger man ducks. C., Egyptian scribe Ahmes, made a transcript of even more ancient mathematical scriptures dating to the reign of the Pharaoh Amenemhat III.We know little about this Greek mathematician from Alexandria, called the father of algebra, except that he lived around 3rd century A. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life. He had his first beard in the next 1/12 of his life. Diophantus died 4 years after the death of his son. In 1858 Scottish antiquarian, Henry Rhind came into possession of Ahmes's papyrus.If we made a circle of wire around the globe, that is only 10 meters (0.01 km) longer than the circumference of the globe, could a flea, a mouse, or even a man creep under it?It is easy to compare old and new perimeter - original perimeter is 2x PIx R, length of wire is 2x PIx(new R) and find out that the result is about 1.6 m.There is no problem proving that the angle between the hours hand and the seconds hand is 131 degrees. The first can fill the entire pool with water in two days, the second - in three days, the third - in four days, and the last one can fill the pool in 6 hours.
What is the exact time (to the millisecond) when this occurs, and what angle will they form with the second hand?
What distance has the fly traveled until its death?
There is a complicated and an easy way to calculate this cool math puzzle. A passenger train leaves New York for Boston traveling at the speed of 80 km/hr.
Two trains, 200 km apart, are moving toward each other at the speed of 50 km/hour each.
A fly takes off from one train flying straight toward the other at the speed of 75 km/hour.