# 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.