If the time is 11 am at Accui in Ghana whose longitude is 0° what time will be local time 60° East and

Question

ScanSolve AI Tutor · Accepted Answer

Here's how to calculate the local times:

Determine the time difference per degree of longitude.
The Earth rotates $360^\circ$ in 24 hours.
$1 \text{ hour} = \frac{360^\circ}{24 \text{ hours}} = 15^\circ$
So, for every $15^\circ$ of longitude, there is a 1-hour time difference.
Calculate the time at $60^\circ$ East.
The longitude difference from Ghana ( $0^\circ$ ) to $60^\circ$ East is $60^\circ$ .
Time difference $= \frac{60^\circ}{15^\circ/\text{hour}} = 4 \text{ hours}$ .
Since $60^\circ$ East is to the east of Ghana, the time will be ahead.
Ghana time $= 11:00 \text{ am}$ .
Time at $60^\circ$ East $= 11:00 \text{ am} + 4 \text{ hours} = 3:00 \text{ pm}$ .
Calculate the time at $60^\circ$ West.
The longitude difference from Ghana ( $0^\circ$ ) to $60^\circ$ West is $60^\circ$ .
Time difference $= \frac{60^\circ}{15^\circ/\text{hour}} = 4 \text{ hours}$ .
Since $60^\circ$ West is to the west of Ghana, the time will be behind.
Ghana time $= 11:00 \text{ am}$ .
Time at $60^\circ$ West $= 11:00 \text{ am} - 4 \text{ hours} = 7:00 \text{ am}$ .

The local time at $60^\circ$ East is $\boxed{\text{3:00 pm}}$ and at $60^\circ$ West is $\boxed{\text{7:00 am}}$ .

Answer