SOLUTION: Pete travels 60 miles in an hour. The first 20 miles he travels at a speed of 50 mph. Another third of the way he travels 60 mph. How fast did he travel the last 20 miles to mak

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Question 907046: Pete travels 60 miles in an hour. The first 20 miles he travels at a speed of 50 mph. Another third of the way he travels 60 mph. How fast did he travel the last 20 miles to make it to the train station in one hour. Show all work if possible.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
r*t=d
t=d/r
20/50+20/60+20/x=1
2/5+1/3+20/x=1
6/15+5/15+20/x=1
11/15+20/x=1
20/x=4/15
300=4x
x=75 mph
check
20/50+20/60+20/75=1
6/15+5/15+4/15=15/15
6+5+4=15
ok