Determine the local time at the point, the geographical longitude of which is 7h46 m, if the clock in Moscow (λ = 2h30 m)

Determine the local time at the point, the geographical longitude of which is 7h46 m, if the clock in Moscow (λ = 2h30 m) shows the time 18h38min.

The point is located east of Moscow.
λ = 2h30m means that Moscow is at a distance from Greenwich at this time.
60 time minutes corresponds to 15 °; therefore, 2 hours corresponds to 30 ° longitude; 30 time minutes corresponds to 7.5
Thus, 2h 30m corresponds to 37.5 ° E.
λ = 7h46m means that the point is away from Greenwich at this time
60 time minutes corresponds to 15 °; therefore, 7 o’clock corresponds to 105 ° longitude;
4 time minutes corresponds to 1 °, therefore 44 time minutes corresponds to 11 °.
0.5 ° corresponds to 2 time minutes
longitude of the point 105 ° + 11 ° + 0.5 ° = 116.5 ° E.
Thus, the difference in longitudes between Moscow time and this point is 116.5 ° – 37.5 ° = 79 °
60 time minutes corresponds to 15 °; therefore, 75 ° longitude corresponds to 5 hours;
4 time minutes corresponds to 1 °; therefore 4 ° corresponds to 16 time minutes.
Consequently, the difference between Moscow and the point is the time difference 5h16m.
18h38m + 5h 16m = 23h54m – local time at this point.

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