Question

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Part 1
A dog won a race at the local fair by running 5 and one fourth
miles in exactly 2 hours. At this constant​ rate, how long does it take the same dog to run the 2 and one tenth
​-mile state fair​ race? Use ratio reasoning to solve.
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Part 1
Use the unit rate.
StartFraction 5.25 miles divided by 2 Over 2 hours divided by 2 EndFraction equals StartFraction 2.625 mile left parenthesis s right parenthesis Over 1 hour EndFraction
  
  
​(Type integers or​ decimals.)
Part 2
Find an equivalent rate.
StartFraction nothing mile left parenthesis s right parenthesis times 0.8 Over 1 hour times nothing EndFraction equals StartFraction 2.1 miles Over nothing hour left parenthesis s right parenthesis EndFraction
  
  
  
​(Type integers or​ decimals.)

Answer 1

Part 1 (unit rate): 5.25 miles ÷ 2 hours = 2.625 miles per 1 hour.

Time for 2.1 miles: time = distance / rate = 2.1 ÷ 2.625 = 0.8 hours = 48 minutes.

Part 2 (fill blanks): (2.625 miles × 0.8) / (1 hour × 0.8) = 2.1 miles / 0.8 hours.