2009 AMC 12A Problem 1

Attempt Problem 1 of the 2009 AMC 12A 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 2009 AMC 12A solutions, or check the answer key.

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1.

Kim's flight took off from Newark at 10:34 am and landed in Miami at 1:18 pm. Both cities are in the same time zone. If her flight took hh hours and mm minutes, with 0m<60,0 \le m \lt 60, what is h+m?h + m?

4646

4747

5050

5353

5454

Answer: A
Concepts:date and timeclock
Difficulty rating: 730
Solution:

From 10:34 am to 11:00 am is 2626 minutes, from 11:00 am to 1:00 pm is 22 hours, and from 1:00 pm to 1:18 pm is 1818 minutes.

So the flight lasted 22 hours and 26+18=4426 + 18 = 44 minutes. Thus h=2,h = 2, m=44,m = 44, and h+m=46.h + m = 46.

Thus, the correct answer is A.

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