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Question

Perth located on $118^\circ$ East Longitude will be celebrating New Year event on $1^{st}$ of January 2017 at 6:00 AM. At that time, what would be the time at Los Angeles located on $110^\circ$ West Longitude ?

The correct answer is
2:48 PM of $31^{st}$ December 2016

Perth Los Angeles Time Calculation

This solution calculates the time difference between Perth and Los Angeles based on their longitudes during the New Year event.

Perth Los Angeles Longitudes Time Difference

  • Perth location: $118^\circ$ East longitude.
  • Los Angeles location: $110^\circ$ West longitude.
  • Time conversion factor: 1 degree longitude = 4 minutes. ($ \frac{24 \times 60 \text{ minutes}}{360^\circ} = 4 \text{ min/degree} $)

Perth GMT Difference Calculation

  • Perth is East of GMT: $118^\circ \times 4 \text{ min/degree} = 472$ minutes = $7$ hours $52$ minutes ahead of GMT.
  • Los Angeles is West of GMT: $110^\circ \times 4 \text{ min/degree} = 440$ minutes = $7$ hours $20$ minutes behind GMT.

GMT Perth Time Calculation

Given Perth time: 6:00 AM on $1^{st}$ January 2017.

GMT = Perth Time - Perth's offset from GMT

GMT = 6:00 AM Jan 1, 2017 - (7 hours 52 minutes)

GMT = 10:08 PM Dec 31, 2016.

Los Angeles GMT Time Calculation

Los Angeles Time = GMT - Los Angeles's offset from GMT

LA Time = 10:08 PM Dec 31, 2016 - (7 hours 20 minutes)

LA Time = 2:48 PM Dec 31, 2016.

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Important Questions from Latitudes and Longitudes

  1. Which of the following statements is/are correct?
    1. The time at 180° longitude is exactly 12 hours from the 0° longitude, irrespective of whether one travels westward or eastward from the Prime Meridian.
    2. A person moving eastward on Tuesday will count the day as Wednesday once the International Date Line is crossed.
    Select the answer using the code given below.
  2. Which one of the following is located at the southernmost latitude ?
  3. In order to find out the absolute location of a place on the map, which of the following will be required?
  4. Which one of the following statements about 'great circle' is not correct?
  5. Which one of the following latitudes passes through maximum Indian states?
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