Concept:Time changes by 1 hour for every 15° of longitude. Locations to the east are ahead in time.Explanation:New York is at 75∘W and Nigeria is at 15∘E.Total longitude difference =75∘+15∘=90∘.Since every 15∘ equals 1 hour, time difference =15∘90∘=6 hours.Nigeria lies east of New York, so Nigeria is ahead by 6 hours.Time in Nigeria =5:00 pm+6 hours=11:00 pm.Answer:11.00 pm.