You are driving home from school steadily at 95.0 km/h for 130 km. It then begins to rain and you slow to 65.0 km/h. You arrive home after driving 3.33 hours. (a) How far is your hometown from school? (b) What was your average speed?

Very simple, Its all about calculating distance using the formula:

D = V x T

where,

V is the speed or velocity

D is distance

T is the time

In the given problem, there are two parts.

Lets do the calculations for both parts separately:

Part 1) Before the rain

Time = 130/95

= 1.37 hours

Time taken after the rain = Total time - time taken before the rain

= 3.34 hours - 1.37 hours

= 1.97 hours

Distance covered after the rain = 1.97 hours x 65 km/h

= 128 km

Hence,

a) The total distance covered = 130 + 128

= 258 km

b) Average speed = Total distance/Total time

= 260/3.34

= 78 km/h