Finding Longitude based on Local Time

GeographyLongitude and TimeMedium

Published:

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.?

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Step by Step Written Solution

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Step 1

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

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Step 2

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

TownLongitudeLocal Time
Q30 degrees E1:00 p.m.
P?10:00 a.m.
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Step 3

The first step is to calculate the time difference between town Q and town P.

$$Time\ Difference = 1:00\ p.m. - 10:00\ a.m.$$
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Step 4

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.

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Step 5

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.

$$3\ hours \times 60\ minutes/hour = 180\ minutes$$
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Step 6

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

$$Longitude\ diff = \frac{180\ minutes}{4\ minutes/degree}$$

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About This Question

Subject
Geography
Topic
Longitude and Time
Difficulty
Medium
Question Type
Open Ended

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