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Question

Difficulty: EasyRatios, Rates, and Percentages

A logistics company operates three delivery routes with specific distances and constant average speeds. Match each delivery route to its corresponding total travel time.

  • Route X: 150 miles at an average speed of 50 miles per hour3 hours
  • Route Y: 240 miles at an average speed of 60 miles per hour4 hours
  • Route Z: 225 miles at an average speed of 45 miles per hour5 hours

Answer

Route X matches 3 hours, Route Y matches 4 hours, and Route Z matches 5 hours.
Each route's travel time is accurately determined by dividing the given distance by the constant average speed: Route X takes 150/50=3150 / 50 = 3 hours, Route Y takes 240/60=4240 / 60 = 4 hours, and Route Z takes 225/45=5225 / 45 = 5 hours.

Step-by-Step Solution

1
Calculate travel time for Route X
TimeX=15050=3 hours\text{Time}_X = \frac{150}{50} = 3\text{ hours}
Using the rate formula Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}} for Route X.
2
Calculate travel time for Route Y
TimeY=24060=4 hours\text{Time}_Y = \frac{240}{60} = 4\text{ hours}
Using the rate formula Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}} for Route Y.
3
Calculate travel time for Route Z
TimeZ=22545=5 hours\text{Time}_Z = \frac{225}{45} = 5\text{ hours}
Using the rate formula Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}} for Route Z.

Key Concept

Distance, Rate, and Time Relationship
Estimated Time:45s
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Topics

Ratios, Rates, and Percentages

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