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

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

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