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Harry rented an ATV to drive up a mountain. He drove 415\frac{41}{5} miles in 34\frac{3}{4} hours. If he travels at a constant rate, how many miles will he drive in 11 hour? Write your answer as a mixed number, simplified fraction, or an exact decimal.

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Full solution

Q. Harry rented an ATV to drive up a mountain. He drove 415\frac{41}{5} miles in 34\frac{3}{4} hours. If he travels at a constant rate, how many miles will he drive in 11 hour? Write your answer as a mixed number, simplified fraction, or an exact decimal.
  1. Calculate Speed: Calculate Harry's speed by dividing the distance he traveled by the time it took. 415\frac{41}{5} miles ÷34\div \frac{3}{4} hours =(415)×(43)=16415= \left(\frac{41}{5}\right) \times \left(\frac{4}{3}\right) = \frac{164}{15} miles per hour
  2. Convert to Mixed Number: Convert the improper fraction to a mixed number for clarity. 16415=101415\frac{164}{15} = 10 \frac{14}{15} miles per hour

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