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A ferry traveled (1)/(6) of the distance between two ports in (3)/(7) hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour? of the distance

A ferry traveled 16 \frac{1}{6} of the distance between two ports in 37 \frac{3}{7} hour. The ferry travels at a constant rate.\newlineAt this rate, what fraction of the distance between the two ports can the ferry travel in one hour?\newlineof the distance

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Full solution

Q. A ferry traveled 16 \frac{1}{6} of the distance between two ports in 37 \frac{3}{7} hour. The ferry travels at a constant rate.\newlineAt this rate, what fraction of the distance between the two ports can the ferry travel in one hour?\newlineof the distance
  1. Understand the problem: Understand the problem.\newlineThe ferry travels 16\frac{1}{6} of the distance in 37\frac{3}{7} hours. We need to find out how much of the distance it can travel in 11 hour.
  2. Set up the proportion: Set up the proportion to find the distance traveled in 11 hour. If 37\frac{3}{7} hours corresponds to 16\frac{1}{6} of the distance, then 11 hour should correspond to a fraction xx of the distance. \left(\frac{\(3\)}{\(7\)} \text{ hours}\right) / \left(\(1 \text{ hour}\right) = \left(\frac{11}{66} \text{ distance}\right) / \left(x \text{ distance}\right)
  3. Solve for x: Solve for x, which represents the fraction of the distance the ferry can travel in 11 hour. x=(16 distance)×(1 hour)/(37 hours)x = \left(\frac{1}{6} \text{ distance}\right) \times \left(1 \text{ hour}\right) / \left(\frac{3}{7} \text{ hours}\right)
  4. Perform the calculation: Perform the calculation.\newlinex=16×73x = \frac{1}{6} \times \frac{7}{3}\newlinex=718x = \frac{7}{18}

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