# Determine the local time in Novosibirsk (λ = 5h32m) if the clock shows an average Moscow time (n = 2) 18h38min.

Novosibirsk is located east of Moscow.

= 5h32m means that Novosibirsk is at a distance from Greenwich at this time.

60 time minutes corresponds to 15 °; therefore, 5 hours corresponds to 75 ° longitude; 30 time minutes corresponds to 7.5 °; 4 time minutes corresponds to 1 °; 2 time minutes corresponds to 0.5 °. Thus, 5h 32m corresponds to 83 ° longitude.

Consequently, the longitude of Novosibirsk is 83 ° E.

The average Moscow time corresponds to 30 ° E, because Moscow belt is the 2nd, the middle meridian is a multiple of 15 °.

Thus, the difference in longitudes between Novosibirsk time and Moscow average is 53 °.

60 time minutes corresponds to 15 °; therefore, 3 o’clock corresponds to 45 ° longitude;

53 ° – 45 ° = 8 °

7.5 ° corresponds to 30 time minutes; 0.5 ° corresponds to 2 time minutes

Thus, 53 ° longitude corresponds to 3h 32m

18h38m + 3h 32m = 22h10m – local time in Novosibirsk.