A) 60 mins

B) 80 mins

C) 98 mins

D) 104 mins

### Explanation:

Longitude difference = $$8^{\circ} + 18^{\circ}$$ = $$26^{\circ}$$
$$1^{\circ} \rightarrow 4 \text{min}$$
$$26^{\circ} \rightarrow 26 \times 4 \text{min}$$
$$= 104 \text{min}$$

## Discussion (2)

• Since we are looking for the difference in local time between two longitudes 8 degrees west and 18 degrees east. First find the angular difference which is 8 + 18 = 26 degrees.

The earth rotates 360 degrees in 24hours. Therefore it rotates 15 degrees in 1 hour.
That is 360 degrees = 24hrs
x degrees = 1 hr
When you do the math, you get 15 degrees.
Now, if the angular difference between the two locations is 26 degrees, and 1 hour is equivalent to 60 minutes...Then,
15degrees = 60mins
26degrees = x mins
Do the math, and you get 104 minutes which is option D.

• Longitude difference = $$8^{\circ} + 18^{\circ}$$ = $$26^{\circ}$$
$$1^{\circ} \rightarrow 4 \text{min}$$
$$26^{\circ} \rightarrow 26 \times 4 \text{min}$$
$$= 104 \text{min}$$