You are driving home from school steadily at 95 km/h for 130 km. It then begins to rain and you slow to 60 km/h. You arrive home after driving 3 hours and 40 minutes.

1-How far is your hometown from school?

2-What was your average speed?

1- d= 270

2- speed= 73

To find the answers to these questions, we need to break down the information provided and perform some calculations.

1- How far is your hometown from school?
The distance traveled while driving at 95 km/h for 130 km and at 60 km/h for the remaining distance can be calculated as follows:

Distance traveled at 95 km/h: 95 km/h * 130 km = 12,350 km
Distance traveled at 60 km/h: 60 km/h * (time traveled - time at 95 km/h)

We know that the total time traveled is 3 hours and 40 minutes, which is 3 + (40/60) hours = 3.67 hours.

Therefore, the time traveled at 60 km/h can be found by subtracting the time traveled at 95 km/h: 3.67 hours - 130 km / 95 km/h = 3.67 - 1.37 = 2.3 hours.

Now we can calculate the remaining distance: Distance traveled at 60 km/h = 60 km/h * 2.3 hours = 138 km.

Adding the distances traveled at both speeds gives us the total distance from school to your hometown: 130 km + 138 km = 268 km.

Therefore, your hometown is approximately 268 km away from school.

2- What was your average speed?
To calculate the average speed, we need to divide the total distance traveled by the total time taken.

Total distance = 130 km + 138 km = 268 km
Total time = 3.67 hours

Average speed = Total distance / Total time = 268 km / 3.67 hours ≈ 73.11 km/h

Therefore, your average speed from school to your hometown was approximately 73.11 km/h.