SOLUTION: A person travels 24 miles at 6 mph, 20 miles at 10 mph and 20 miles at 5 mph. what is the persons average rate for the complete distance?

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Question 826422: A person travels 24 miles at 6 mph, 20 miles at 10 mph and 20 miles at 5 mph. what is the persons average rate for the complete distance?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A person travels 24 miles at 6 mph, 20 miles at 10 mph and 20 miles at 5 mph. what is the persons average rate for the complete distance?
:
Find the total distance of the trip: 24 + 10 + 20 = 54 miles
let a = the average speed of the whole trip
write a time equation; time = dist/speed
24%2F6 + 20%2F10 + 20%2F5 = 54%2Fa
4 + 2 + 4 = 54%2Fa
10 = 54%2Fa
10a = 54
a = 54%2F10
a = 5.4 mph is the av speed of the trip