Problem Description:
The task involves understanding international time zones and completing a table based on the given times in New York. The image shows clocks for various cities, each with a specific time zone offset relative to Coordinated Universal Time (UTC). The goal is to determine the corresponding times in other cities based on the time in New York.
Key Information from the Image:
1.
New York Time Zone: UTC-5
2.
Clocks for Various Cities:
- Los Angeles: UTC-8
- Calgary: UTC-7
- New York: UTC-5
- Brasilia: UTC-4
- Dublin: UTC+0
- Paris: UTC+1
- Moscow: UTC+3
- Beijing: UTC+7
- Sydney: UTC+11
3.
Given Times:
- New York: 07:00
- London: 12:00
- Paris: 13:00
- Sydney: 21:00
4.
Task: Complete the table by calculating the times in other cities based on the given times.
---
Solution Approach:
To solve this problem, we need to use the time zone offsets to calculate the times in other cities. Here’s how we can do it step by step:
#### Step 1: Understand the Time Zone Offsets
-
New York (UTC-5): If New York is at 07:00, we can calculate the times in other cities by adding or subtracting their respective UTC offsets.
- For example:
- Los Angeles (UTC-8): Subtract 3 hours from New York's time.
- Calgary (UTC-7): Subtract 2 hours from New York's time.
- Brasilia (UTC-4): Add 1 hour to New York's time.
- Dublin (UTC+0): Add 5 hours to New York's time.
- Paris (UTC+1): Add 6 hours to New York's time.
- Moscow (UTC+3): Add 8 hours to New York's time.
- Beijing (UTC+7): Add 12 hours to New York's time.
- Sydney (UTC+11): Add 16 hours to New York's time.
#### Step 2: Calculate Times for Each City
Using the given time in New York (07:00):
1.
Los Angeles (UTC-8):
- Offset: UTC-8 is 3 hours behind New York (UTC-5).
- Time: \( 07:00 - 3 \) hours =
04:00
2.
Calgary (UTC-7):
- Offset: UTC-7 is 2 hours behind New York (UTC-5).
- Time: \( 07:00 - 2 \) hours =
05:00
3.
Brasilia (UTC-4):
- Offset: UTC-4 is 1 hour ahead of New York (UTC-5).
- Time: \( 07:00 + 1 \) hour =
08:00
4.
Dublin (UTC+0):
- Offset: UTC+0 is 5 hours ahead of New York (UTC-5).
- Time: \( 07:00 + 5 \) hours =
12:00
5.
Paris (UTC+1):
- Offset: UTC+1 is 6 hours ahead of New York (UTC-5).
- Time: \( 07:00 + 6 \) hours =
13:00
6.
Moscow (UTC+3):
- Offset: UTC+3 is 8 hours ahead of New York (UTC-5).
- Time: \( 07:00 + 8 \) hours =
15:00
7.
Beijing (UTC+7):
- Offset: UTC+7 is 12 hours ahead of New York (UTC-5).
- Time: \( 07:00 + 12 \) hours =
19:00
8.
Sydney (UTC+11):
- Offset: UTC+11 is 16 hours ahead of New York (UTC-5).
- Time: \( 07:00 + 16 \) hours =
23:00
#### Step 3: Verify Given Times
The problem also provides some times directly:
-
London (UTC+0): 12:00 (matches our calculation for Dublin).
-
Paris (UTC+1): 13:00 (matches our calculation).
-
Sydney (UTC+11): 21:00 (does not match our calculation; likely an error in the problem statement).
#### Step 4: Complete the Table
Using the calculations above, we can fill in the table:
| Location | New York (UTC-5) | Los Angeles (UTC-8) | Calgary (UTC-7) | Brasilia (UTC-4) | Dublin (UTC+0) | Paris (UTC+1) | Moscow (UTC+3) | Beijing (UTC+7) | Sydney (UTC+11) |
|----------|-------------------|---------------------|------------------|-------------------|----------------|---------------|----------------|-----------------|------------------|
| Time | 07:00 | 04:00 | 05:00 | 08:00 | 12:00 | 13:00 | 15:00 | 19:00 | 23:00 |
---
Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|c|c|c|c|c|c|c|}
\hline
\text{Location} & \text{New York (UTC-5)} & \text{Los Angeles (UTC-8)} & \text{Calgary (UTC-7)} & \text{Brasilia (UTC-4)} & \text{Dublin (UTC+0)} & \text{Paris (UTC+1)} & \text{Moscow (UTC+3)} & \text{Beijing (UTC+7)} & \text{Sydney (UTC+11)} \\
\hline
\text{Time} & 07:00 & 04:00 & 05:00 & 08:00 & 12:00 & 13:00 & 15:00 & 19:00 & 23:00 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of time zones worksheet 5th grade.
