I got in my car and drove 40 miles to see my cousin at a rate of 20 mph. Then, I left my cousin’s house and drove another 30 miles to the store but this time went 10 mph. What was my average speed for the whole trip?
speed = distance/time, so
(40+30)/(40/20 + 30/10) = (40+30)/(2+3) = 70/5 = 14 mi/hr
d1 = r1*T1
40 = 20T1
T1 = 2h.
d2 = r2*T2
30 = 10T2
T2 = 3h.
d = r*T
40+30 = r*(2+3).
r = 14 mi/h.
To find the average speed for the whole trip, you need to find the total distance traveled and divide it by the total time taken.
1. Calculate the time taken for the first leg of the trip:
Time taken = Distance / Rate
Time taken = 40 miles / 20 mph
Time taken = 2 hours
2. Calculate the time taken for the second leg of the trip:
Time taken = Distance / Rate
Time taken = 30 miles / 10 mph
Time taken = 3 hours
3. Calculate the total distance traveled:
Total distance = 40 miles + 30 miles
Total distance = 70 miles
4. Calculate the total time taken for the whole trip:
Total time taken = Time for first leg + Time for second leg
Total time taken = 2 hours + 3 hours
Total time taken = 5 hours
5. Calculate the average speed for the whole trip:
Average speed = Total distance / Total time taken
Average speed = 70 miles / 5 hours
Average speed = 14 mph
Therefore, your average speed for the whole trip was 14 mph.
To calculate the average speed for the entire trip, you need to find the total distance traveled and the total time taken.
First, let's calculate the total distance.
Distance from your house to your cousin's house = 40 miles
Distance from your cousin's house to the store = 30 miles
Total distance = 40 miles + 30 miles = 70 miles
Now, let's calculate the total time taken.
Time taken to travel from your house to your cousin's house = Distance / Speed = 40 miles / 20 mph = 2 hours
Time taken to travel from your cousin's house to the store = Distance / Speed = 30 miles / 10 mph = 3 hours
Total time taken = 2 hours + 3 hours = 5 hours
Finally, to find the average speed, divide the total distance by the total time:
Average Speed = Total Distance / Total Time = 70 miles / 5 hours = 14 mph
So, your average speed for the whole trip was 14 mph.