1986 AMC 8 Problem 5

Attempt Problem 5 of the 1986 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1986 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

A contest began at noon one day and ended $1000$ minutes later. At what time did the contest end?

$10\!:\!00$ p.m.

midnight

$2\!:\!30$ a.m.

$4\!:\!40$ a.m.

$6\!:\!40$ a.m.

Answer: D

Concepts:date and time unit conversion

Difficulty rating: 730

Solution:

Since $1000$ minutes $= \dfrac{1000}{60}$ hours $= 16\dfrac23$ hours $= 16$ hours $40$ minutes, the contest ended $16$ hours $40$ minutes past noon, which is $4\!:\!40$ a.m.

Thus, the correct answer is D .

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