Plot a graph showing the time difference in hours from GMT in each city.
Understand the Problem
The question is asking to plot a graph showing the time difference in hours from GMT for each city listed, based on the local times provided. Time conversions need to be calculated first to find the differences from GMT.
Answer
City A: $-3.25$, City B: $-6$, City C: $-5$, City D: $-2$, City E: $-1$
Answer for screen readers
The time differences from GMT for each city are as follows:
- City A: $-3.25$ hours
- City B: $-6$ hours
- City C: $-5$ hours
- City D: $-2$ hours
- City E: $-1$ hour
Steps to Solve
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Identify the Time Differences The current GMT time is 9:45 PM on Monday. Convert the local times of each city to GMT.
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Convert City A Local Time City A: 1:45 AM on Tuesday
This is 3 hours and 15 minutes behind GMT.
Calculation:
$9:45\ \text{PM} + 3\ \text{hours} + 15\ \text{minutes} = 1:45\ \text{AM}$
Time difference = $-3.25$ hours -
Convert City B Local Time City B: 3:45 PM on Monday
This is 6 hours behind GMT.
Calculation:
$9:45\ \text{PM} - 6\ \text{hours} = 3:45\ \text{PM}$
Time difference = $-6$ hours -
Convert City C Local Time City C: 2:45 AM on Tuesday
This is 5 hours behind GMT.
Calculation:
$9:45\ \text{PM} + 5\ \text{hours} = 2:45\ \text{AM}$
Time difference = $-5$ hours -
Convert City D Local Time City D: 7:45 PM on Monday
This is 2 hours behind GMT.
Calculation:
$9:45\ \text{PM} - 2\ \text{hours} = 7:45\ \text{PM}$
Time difference = $-2$ hours -
Convert City E Local Time City E: 11:45 PM on Monday
This is 1 hour behind GMT.
Calculation:
$9:45\ \text{PM} + 1\ \text{hour} = 11:45\ \text{PM}$
Time difference = $-1$ hour -
Compile the Time Differences
- City A: $-3.25$ hours
- City B: $-6$ hours
- City C: $-5$ hours
- City D: $-2$ hours
- City E: $-1$ hour
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Plot the Graph Use the time differences to plot on a graph, with the cities on the x-axis and the time difference in hours on the y-axis.
The time differences from GMT for each city are as follows:
- City A: $-3.25$ hours
- City B: $-6$ hours
- City C: $-5$ hours
- City D: $-2$ hours
- City E: $-1$ hour
More Information
The graph represents how far each city is from GMT, with the negative values indicating that the local time is behind GMT. This exercise helps in understanding time zones and their conversions around the world.
Tips
- Misunderstanding time conversion: Ensure to accurately calculate the time difference based on whether it is AM/PM.
- Forgetting to consider the day change: When converting times, be careful about day transitions (e.g., from Monday to Tuesday).
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