City P is located at longitude 38^\circ\text{E} where the local time is 4:20 p.m. At the e… — JAMB UTME

City P is located at longitude $38^\circ\text{E}$ where the local time is 4:20 p.m. At the exact same moment, the local time at City Q is 9:40 a.m. on the same day. What is the longitude of City Q in degrees West of the Greenwich Meridian?

Cevap: 62 degrees West

Cevap

City Q is located at longitude

62^\circ\text{W}

The calculation demonstrates that a time difference of 6 hours and 40 minutes equals

100^\circ

of longitude (

400 \text{ minutes} \div 4 \text{ minutes/degree}

). Because City Q is earlier in time (9:40 a.m.) than City P (4:20 p.m.), City Q is located

100^\circ

to the west of

38^\circ\text{E}

. Subtracting

38^\circ

to reach

0^\circ

leaves

62^\circ

in the Western Hemisphere, giving a final position of

62^\circ\text{W}

Adım Adım Çözüm

Find the local time difference between City P and City Q

Local time difference is 6 hours and 40 minutes (400 minutes)

Converting both times to 24-hour format (16:20 and 09:40) allows direct subtraction:

16:20 - 09:40 = 6\text{ h } 40\text{ min}

Convert time difference into angular longitude difference

Longitude difference is

100^\circ

Earth rotates

1^\circ

every 4 minutes. Dividing 400 minutes by 4 yields

100^\circ

of total longitude separation.

Determine the relative direction of City Q from City P

City Q is located

100^\circ

west of City P

Places with earlier local times lie to the west because the Earth rotates from west to east.

Calculate the final longitude position west of Greenwich (

0^\circ

)

Longitude of City Q is

62^\circ\text{W}

Moving

100^\circ

west from

38^\circ\text{E}

covers

38^\circ

to reach

0^\circ

, and the remaining

62^\circ

extends into the Western Hemisphere (

100^\circ - 38^\circ = 62^\circ

Anahtar Kavram

Calculation of longitude position using local time differences across the Prime Meridian

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