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33 A bicyclist travels 6(1)/(2) miles in (2)/(3) hour. What is the average speed, in miles per hour, of the bicyclist? A 6(1)/(2) B 6(5)/(6) C quad7(1)/(6) D quad9(3)/(4)

3333 A bicyclist travels 612 6 \frac{1}{2} miles in 23 \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?\newlineA 612 6 \frac{1}{2} \newlineB 656 6 \frac{5}{6} \newlineC 716 \quad 7 \frac{1}{6} \newlineD 934 \quad 9 \frac{3}{4}

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Q. 3333 A bicyclist travels 612 6 \frac{1}{2} miles in 23 \frac{2}{3} hour. What is the average speed, in miles per hour, of the bicyclist?\newlineA 612 6 \frac{1}{2} \newlineB 656 6 \frac{5}{6} \newlineC 716 \quad 7 \frac{1}{6} \newlineD 934 \quad 9 \frac{3}{4}
  1. Calculate average speed: To find average speed, divide total distance by total time. The distance is 6126\frac{1}{2} miles which is 6.56.5 miles.
  2. Find distance and time: The time is (23)(\frac{2}{3}) hour. Now calculate the average speed: speed = distance / time = 6.56.5 miles / (23)(\frac{2}{3}) hour.
  3. Divide distance by time: To divide by a fraction, multiply by its reciprocal. So, multiply 6.56.5 by 32\frac{3}{2} to get the speed in miles per hour.
  4. Multiply by reciprocal: Calculating gives us: 6.5×(32)=19.52=9.756.5 \times \left(\frac{3}{2}\right) = \frac{19.5}{2} = 9.75 miles per hour.
  5. Recalculate average speed: The average speed is 9.759.75 miles per hour, which is not an option in the multiple choice. There's a mistake, let's check the calculations again.

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