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\(18 \frac{2}{3} = \frac{56}{3}\)
2 hours and 40 minutes equals to 160 minutes
Lets say that R is the average rate

\(\frac{56}{3R} = \frac{160}{60}\)
\(\frac{56}{3R} = \frac{8}{3}\)
\(\frac{56}{R} = 8\)
Cross multiplication:
\(56 = R*8\)
\(R = \frac{56}{8}\)
\(R = 7\)

Option A
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Bunuel
Martha biked \(18 \frac{2}{3}\) miles in 2 hours and 40 minutes. What was her average rate of speed in miles per hour?


A. 7

B. \(7 \frac{2}{3}\)

C. \(8 \frac{1}{3}\)

D. 9

E. \(9 \frac{1}{3}\)

Martha's average rate of speed was:

(56/3)/(2 2/3) = (56/3)/(8/3) = (56 x 3)/24 = 168/24 = 7 mph

Answer: A
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Bunuel
Martha biked \(18 \frac{2}{3}\) miles in 2 hours and 40 minutes. What was her average rate of speed in miles per hour?


A. 7

B. \(7 \frac{2}{3}\)

C. \(8 \frac{1}{3}\)

D. 9

E. \(9 \frac{1}{3}\)
\(D = 18 \frac{2}{3}=\frac{56}{3}\)

\(T = 2\) hours and \(40\) minutes \(= 2 \frac{40}{60} = 2 \frac{2}{3} = \frac{8}{3}\)

Thus, \(S = \frac{56}{3}*\frac{3}{8}=7\), Answer must be (A)
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