Comet Ikeya–Seki, formally designated C/1965 S1, 1965 VIII, and 1965f, was a long-period comet discovered independently by Kaoru Ikeya and Tsutomu Seki. First observed as a faint telescopic object on September 18, 1965, the first calculations of its orbit suggested that on October 21, it would pass just 450,000 km above the Sun's surface, and would probably become extremely bright.

Comets can defy such predictions, but Ikeya–Seki performed as expected. As it approached perihelion observers reported that it was clearly visible in the daytime sky next to the Sun. In Japan, where it reached perihelion at local noon, it was seen shining at magnitude −10. It proved to be one of the brightest comets seen in the last thousand years, and is sometimes known as the Great Comet of 1965.

The comet was seen to break into three pieces just before its perihelion passage. The three pieces continued in almost identical orbits, and the comet re-appeared in the morning sky in late October, showing a very bright tail. By early 1966, it had faded from view as it receded into the outer Solar System.

Ikeya–Seki is a member of the Kreutz sungrazers, which are suggested to be fragments of a large comet which broke up in 1106.

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Previous answer

At first meeting, the boats have traveled a combined distance equal to 1 length of the lake; at second meeting, 3 lengths. Elapsed time and distance for each is three times as as great. Then at second meeting M has traveled 500 times 3 = 1,500 yards. Since this is 300 yards longer than the length of the lake, the latter is 1,200 yards.

The ratio of M's speed to N's equals the ratio of the distances they travel before their first meeting:

(500)/(1.200 - 500) = (5/7)

As the wind blows

You have 14 lit candles in your room when a strong breeze blows out 6 of them out. You grab 1 of them to light up 3 before the wax burns your fingers and you place the lit candle back. You leave to grab some matches but when you come back 4 more are blown out. How many candles do you have in the end?

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