To determine the time at Mogadishu (370° E) when the time at Conakry (100° W) is 10.00 am, we need to calculate the time difference between the two locations.

Since the Earth rotates 360 degrees in 24 hours, the time difference between each hour of time corresponds to 15 degrees of longitude. Therefore, for each hour, the longitude difference is 15 degrees.

Given that Conakry (100° W) has a time of 10.00 am, we need to calculate the longitude difference between Conakry and Mogadishu:

Longitude difference = Longitude of Mogadishu – Longitude of Conakry Longitude difference = 370° E – 100° W

To calculate the effective longitude difference, we need to convert the western longitude to its corresponding eastern longitude. The eastern longitude of 100° W is 360° – 100° = 260° E.

Longitude difference = 370° E – 260° E Longitude difference = 110°

To convert the longitude difference into time, we divide it by the longitude difference per hour, which is 15 degrees per hour:

Time difference = Longitude difference / Longitude difference per hour Time difference = 110° / 15° per hour Time difference = 7.33 hours

Now we can calculate the time at Mogadishu:

Time at Mogadishu = Time at Conakry + Time difference Time at Mogadishu = 10.00 am + 7.33 hours Time at Mogadishu = 5:20 pm (approximately)

Therefore, the time at Mogadishu (370° E) when the time at Conakry (100° W) is 10.00 am is around 5:20 pm.

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