Finding Longitude based on Local Time
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Example 13: What is the longitude of a town P whose local time is 10.00 a.m. when the local time at town Q on longitude $30^{\circ}E$ is 1.00 p.m.?
Animated Video Solution
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Step by Step Written Solution
Hi Jeska, let's solve this longitude and time problem together. We need to find the longitude of town P given its local time and the details of town Q.
Longitude and Time Calculation
First, let's list what we know for Town Q. It is at thirty degrees East, and the time there is one p m.
Given Data
| Town | Longitude | Local Time |
|---|---|---|
| Q | 30 degrees E | 1:00 p.m. |
| P | ? | 10:00 a.m. |
The first step is to calculate the time difference between town Q and town P.
From ten a m to twelve noon is two hours, plus one more hour to get to one p m. That's a total difference of three hours.
We know that for every one degree of longitude, there is a four minute time difference. Since our difference is in hours, let's convert the three hours into minutes.
Now, we convert those one hundred eighty minutes back into a longitudinal difference using the rule that four minutes equals one degree.
Calculating Degree Difference
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