Question

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?

Answer 1

The distance between your hometown and school is 316.35 km, and your average speed is 95.03 km/h.

Step-by-step explanation:

To find the distance between your hometown and school, we can use the formula distance = speed x time. You were driving at 95.0 km/h for 130 km, so the distance is 95.0 km/h x 3.33 hours = 316.35 km. Therefore, your hometown is 316.35 km away from school.

The average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the total distance is 316.35 km and the total time is 3.33 hours, so the average speed is 316.35 km / 3.33 hours = 95.03 km/h.

Answer 2

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