you are driving home from school at 90 km/h. it then began to rain and you slow to 50km/h. your arrive home after driving 3 hours and 20 minutes, how far is your hometown from school? what is the average speed?
No unique solution.
20'@90 + 3h@50 = 30+150 = 180km
1h20'@90 + 2h@50 = 120+100 = 220km
2h20'@90 + 1h@50 = 210+50 = 260km
Some info is missing.
To find the distance between the school and your home, we can use the formula:
Distance = Speed × Time
First, let's convert the time of 3 hours and 20 minutes to hours. Since there are 60 minutes in 1 hour, we have:
3 hours + (20 minutes / 60 minutes per hour)
= 3 hours + (1/3) hour
= 3 + (1/3) hour
= 3 + 0.333 hour
= 3.333 hours
Now, let's find the distances for each part of your trip.
Distance at 90 km/h:
Speed = 90 km/h
Time = 3.333 hours
Distance = 90 km/h × 3.333 hours = 299.97 km (rounded to the nearest hundredth)
Distance at 50 km/h:
Speed = 50 km/h
Time = 3.333 hours
Distance = 50 km/h × 3.333 hours = 166.65 km (rounded to the nearest hundredth)
Now, we can find the total distance by adding the distances for each part:
Total distance = Distance at 90 km/h + Distance at 50 km/h
Total distance = 299.97 km + 166.65 km
Total distance = 466.62 km (rounded to the nearest hundredth)
So, the distance between your hometown and school is approximately 466.62 km.
To find the average speed, we can use the formula:
Average speed = Total distance / Total time
Total distance = 466.62 km (calculated above)
Total time = 3.333 hours (as given)
Average speed = 466.62 km / 3.333 hours
Average speed = 139.99 km/h (rounded to the nearest hundredth)
So, the average speed of your trip from school to your hometown is approximately 139.99 km/h.