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Algebra Difficulty 1.4 Junior Find the answer Canada

Starting at 1:00 p.m., Jorge watched three movies. The first movie was 2 hours and 20 minutes long. He took a 20 minute break and then watched the second movie, which was 1 hour and 45 minutes long. He again took a 20 minute break and then watched the last movie, which was 2 hours and 10 minutes long. At what time did the final movie end?

$\text{6:45 p.m.}$
$\text{7:15 p.m.}$
$\text{7:35 p.m.}$
$\text{7:55 p.m.}$
$\text{8:15 p.m.}$

Your answer

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

Solution

Starting at 1:00 p.m., Jorge watches a movie that is 2 hours and 20 minutes long.

This first movie ends at 3:20 p.m.

Then, Jorge takes a 20 minute break.

This break ends at 3:40 p.m.

Then, Jorge watches a movie that is 1 hour and 45 minutes long.

After 20 minutes of this movie, it is 4:00 p.m. and there is still 1 hour and 25 minutes left in the movie. This second movie thus ends at 5:25 p.m.

Then, Jorge takes a 20 minute break which ends at 5:45 p.m.

Finally, Jorge watches a movie that is 2 hours and 10 minutes long.

This final movie ends at 7:55 p.m.

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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.