2009 AMC 12A Problem 1

Below is the professionally curated solution for Problem 1 of the 2009 AMC 12A, 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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Concepts:date and time clock

Difficulty rating: 730

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 $h$ hours and $m$ minutes, with $0 \le m \lt 60,$ what is $h + m?$

$46$

$47$

$50$

$53$

$54$

Solution:

From 10:34 am to 11:00 am is $26$ minutes, from 11:00 am to 1:00 pm is $2$ hours, and from 1:00 pm to 1:18 pm is $18$ minutes.

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

Thus, the correct answer is A.

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