Difference between revisions of "2009 Grade 8 CEMC Gauss Problems/Problem 16"

(Created page with "==Problem== When it is 3:00 p.m. in Victoria, it is 6:00 p.m. in Timmins. Stefan’s flight departed at 6:00 a.m. local Victoria time and arrived at 4:00 p.m. local Timmins ti...")
 
 
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We can also use the time conversion, but convert Timmins time to Victoria time to solve the problem.
 
We can also use the time conversion, but convert Timmins time to Victoria time to solve the problem.
  
<math>4:00</math> pm in local Timmins time would be <math>1:00</math> pm in local Victoria time≥
+
<math>4:00</math> pm in local Timmins time would be <math>1:00</math> pm in local Victoria time.
  
 
<math>6</math> hours after <math>6:00</math> am is <math>12:00</math> pm, and <math>1</math> hour after that <math>1:00</math> pm, so his flight was <math>6 + 1 = \boxed {\textbf {(D) } 7}</math> hours long.
 
<math>6</math> hours after <math>6:00</math> am is <math>12:00</math> pm, and <math>1</math> hour after that <math>1:00</math> pm, so his flight was <math>6 + 1 = \boxed {\textbf {(D) } 7}</math> hours long.
  
 
~anabel.disher
 
~anabel.disher

Latest revision as of 11:36, 19 June 2025

Problem

When it is 3:00 p.m. in Victoria, it is 6:00 p.m. in Timmins. Stefan’s flight departed at 6:00 a.m. local Victoria time and arrived at 4:00 p.m. local Timmins time. How long, in hours, was his flight?

$\text{ (A) }\ 5 \qquad\text{ (B) }\ 9 \qquad\text{ (C) }\ 13 \qquad\text{ (D) }\ 7 \qquad\text{ (E) }\ 8$

Solution 1

From the first sentence of the problem, we can realize that Timmins is $3$ hours ahead. This means that $6:00$ am in local Victoria time is the same thing as $9:00$ am in local Timmins time.

$3$ hours after $9:00$ am is $12:00$ pm, and $4$ hours after that is $4:00$ pm, so his flight was $3 + 4 = \boxed {\textbf {(D) } 7}$ hours long.

~anabel.disher

Solution 1.1

We can also use the time conversion, but convert Timmins time to Victoria time to solve the problem.

$4:00$ pm in local Timmins time would be $1:00$ pm in local Victoria time.

$6$ hours after $6:00$ am is $12:00$ pm, and $1$ hour after that $1:00$ pm, so his flight was $6 + 1 = \boxed {\textbf {(D) } 7}$ hours long.

~anabel.disher