Verified Answer :

24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24
\(\frac{3}{4}\)  / 0.5 = \(\frac{(24*4+3)2}{4}\)=49.5  miles per hour

Answer: \(\text{Average speed}=49\dfrac{1}{2}\) miles per hour

Step-by-step explanation:

Formula to find the average speed is given by :-

\(\text{Average speed}=\dfrac{\text{Distance}}{\text{Time}}\)

Given : Distance = \(24\dfrac{3}{4}\) miles=\(\dfrac{24\times4+3}{4}\) miles

\(=\dfrac{99}{4}\) miles

Time =\(\dfrac{1}{2}\) hour

Then, \(\text{Average speed}=\dfrac{\dfrac{99}{4}}{\dfrac{1}{2}}\)

i.e. \(\text{Average speed}=\dfrac{99\times2}{4}=\dfrac{99}{2}\)

i.e. \(\text{Average speed}=49\dfrac{1}{2}\) miles per hour