speed = distance/time, so
(40+30)/(40/20 + 30/10) = (40+30)/(2+3) = 70/5 = 14 mi/hr
(40+30)/(40/20 + 30/10) = (40+30)/(2+3) = 70/5 = 14 mi/hr
40 = 20T1
T1 = 2h.
d2 = r2*T2
30 = 10T2
T2 = 3h.
d = r*T
40+30 = r*(2+3).
r = 14 mi/h.
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.
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.