Simplify Complex Rational Expressions
-The Average Speed on a Round-Trip $\frac{2 d}{\frac{d}{r_{1}}+\frac{d}{r_{2}}}$

question 211

Multiple Choice

Simplify Complex Rational Expressions
-The average speed on a round-trip commute having a one-way distance d is given by the complex rational expression $\frac{2 d}{\frac{d}{r_{1}}+\frac{d}{r_{2}}}$
in which r1 and r2 are the speeds on the outgoing and return trips, respectively. Fred and Michael both drove to campus averaging 35 miles per hour and each returned home on the same route he used going and averaged 50 miles per hour. Fred's one-way route was 6 miles longer than Michael's. Simplify the complex rational expression and answer the question: How does Fred's overall average speed compare with Michael's?

• A) Fred's average speed is the same as Michael's.
• B) Fred's average speed is higher than Michael's.
• C) Fred's average speed is lower than Michael's.
• D) Not enough information is given to answer the question.

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