Maths Olympiad Prep

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, 2023

Algebra Difficulty 1.1 Junior Find the answer Canada

One movie is 1 hour and 48 minutes long. A second movie is 25
minutes longer than the first. How long is the second movie?

$2\$\text{2} hours and 13
minutes}$
$1\$\text{1} hour and 48
minutes}$
$2\$\text{2} hours and 25
minutes}$
$2\$\text{2} hours and 3
minutes}$
$2\$\text{2} hours and 48
minutes}$

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

We add 25 minutes to 1 hour and 48 minutes in two steps.

First, we add 12 minutes to 1 hour and 48 minutes to get 2 hours.

Then we add 2512=1325 - 12 = 13 minutes to
2 hours to get 2 hours and 13 minutes.

Alternatively, we could note that 1 hour and 48 minutes is 60+48=10860 + 48 = 108 minutes, and so the time
that is 25 minutes longer is 133 minutes, which is 120+13120 + 13 minutes or 2 hours and 13
minutes.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.