alanforde800Maximus wrote:Two long time friends want to meet for lunch on a free weekend. One friend Ann, lives in Portland, and the other, Bill, lives in Seattle. They decide to meet somewhere on the 200-mile stretch connecting the two cities, and they start driving simultaneously from their respective cities toward each other along the same route. Ann drives an average of 50 miles per hour, and Bill drives an average of 70 miles per hour. Approximately how many miles from Portland will the two meet?
a) 56.7
b) 60.0
c) 72.5
d) 83.3
e) 96.7
Ann and Bill are WORKING TOGETHER to cover the 200 miles between them.
When people work together, ADD THE RATES.
The combined rate for Ann and Bill = 50+70 = 120 miles per hour.
Of every 120 miles traveled when Ann and Bill work together, Ann drives 50 miles.
Thus, she will travel 50/120 of the 200 miles:
(50/120)(200) = 83.33 miles.
The correct answer is
D.
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