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2009 AMC 12A Problem 1

Problem 1 of 25EasierAlgebra

Kim’s flight took off from Newark at 10:3410{:}34 am and landed in Miami at 1:181{:}18 pm. Both cities are in the same time zone. If her flight took hh hours and mm minutes, with 0≤m<60,0 \le m \lt 60, what is h+m?h + m?

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Solution

From 10:3410{:}34 am to 11:0011{:}00 am is 2626 minutes, from 11:0011{:}00 am to 1:001{:}00 pm is 22 hours, and from 1:001{:}00 pm to 1:181{:}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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Concepts: date and time · clock

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