High School

Ratios and Proportions (RP)

5. A mallard duck is 56 to 65 centimeters long. If the duck traveled 97.8 miles at top speed in 1.5 hours, how far did it travel in one hour?

Answer :

We are given that the duck traveled a total distance of
[tex]$$97.8 \text{ miles}$$[/tex]
in
[tex]$$1.5 \text{ hours}.$$[/tex]

To find the distance traveled in one hour, we set up the following proportion:
[tex]$$\text{Distance in one hour} = \frac{\text{Total Distance}}{\text{Total Time}}.$$[/tex]

Substituting the given values, we have:
[tex]$$\text{Distance in one hour} = \frac{97.8 \text{ miles}}{1.5 \text{ hours}}.$$[/tex]

Carrying out the division:
[tex]$$\frac{97.8}{1.5} = 65.2 \text{ miles}.$$[/tex]

Thus, the duck traveled
[tex]$$65.2 \text{ miles in one hour}.$$[/tex]

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