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.

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

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

Count the minutes from

10{:}34

am up to

11{:}00

am, then continue from there

The flight lasts

2

hours and

26 + 18

minutes

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.

Problem 1 in other years