Find the longitude of certain place when it is 2:30 am and time at 70 degree is 1 am?

The longitude is 92.5° degrees.

Explanation:

Step 1

Theoretically speaking, it takes 4 minutes for the earth to rotate  1°.

This is arrived at by dividing the total number of minutes in a day by 360° (because the earth is spherical).

Total minutes in a day is arrived at by multiplying 24 hours by 60.

This equals 1440.

To get how many degrees the earth rotates per minute, we divide 1440/360°

This equals 4.

That is every 4 minutes, the earth rotates 1°.

Step 2

There are two locations. The time at one is 1:00 am and the time at the other is 2:30 am. Imagine a straight line, this means the location whose time is 2:30  am is ahead of the location whose time is 1:00 am.

Location B (1:00am)Location A(2:30am)

Longitude 70°                                                                       Longitude (70°+X°)

We know the longitude of Location B to be 70°. To get the longitude at location A, we can calculate how many degrees it has taken the earth to rotate from Location B to Location A by dividing the difference in time by 4 minutes. We can then add the difference to the given longitude to get the longitude of Location A.

Difference in time (In minutes) = 2:30am-1:00am

= 1Hr:30 minutes or

= 90 minutes because there are 60 minutes in one hour.

To get how many degrees the earth can rotate in 90 minutes, we divide 90 by 4. This is because we already know that the earth rotates 1° every 4 minutes.

Therefore:

90/4 = 22.5°

So the distance in degrees between Location A and B is 22.5°

Step 3

Since we know the longitude of Location B to be 70°, we add the distance in degrees that the earth has rotated to obtain the new longitude or the longitude of location A.

That is 70° + 22.5° = 92.5°

Therefore the Longitude of Location A (which is ahead of Location B) is 92.5°

Cheers!

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