2009 AMC 8 Problems/Problem 14

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Problem

Austin and Temple are $50$ miles apart along Interstate 35. Bonnie drove from Austin to her daughter's house in Temple, averaging $60$ miles per hour. Leaving the car with her daughter, Bonnie rod a bus back to Austin along the same route and averaged $40$ miles per hour on the return trip. What was the average speed for the round trip, in miles per hour?


$\textbf{(A)}\  46  \qquad \textbf{(B)}\   48  \qquad \textbf{(C)}\   50  \qquad \textbf{(D)}\   52  \qquad \textbf{(E)}\   54$

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