What will be the local time in nigeria (long15dE) when it is 5:00pm in ethiopia(long45dE)

since 360° of longitude covers a 24-hour range,

each time zone hour spans 15° of longitude.

See what you can do with that

Longitude difference=45-15 =30°

1°=4 min
30°=??
=30×4= 120 min
120/60= 2 hours
since Nigeria is to the west of Ethiopia, subtract 2 hours from 5:00p.m

5:00-2:00
=3:00p.m.