A car traveled \(75\%\) of the way from town \(A\) to town \(B\) by traveling at \(T\) hours at an average speed of

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A car traveled \(75\%\) of the way from town \(A\) to town \(B\) by traveling at \(T\) hours at an average speed of \(V\, mph.\) The car travels at an average speed of \(S \, mph\) for the remaining part of the trip. Which of the following expressions represents the average speed for the entire trip?

A. \(0.75V + 0.25S\)

B. \(0.75T + 0.25S\)

C. \(\dfrac{VT}{3S}\)

D. \(\dfrac{4VT}{\frac{T+S}3}\)

E. \(\dfrac{4VS}{3S+V}\)

Answer: E

Source: GMAT Paper Tests