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Pat built two models of Navy boats, one with a scale of 1 inch = 26 feet and the other with a scale of 1 inch = 20 feet.

If both finished models are 18 inches long, what is the difference between the actual sizes of the two boats?

A. 

3 feet

B. 

6 feet

C. 

24 feet

D. 

108 feet

1 answer

To find the actual sizes of the two boats based on the given scales, we first calculate the actual lengths for each model.

For the first model (1 inch = 26 feet):

  • Length of model = 18 inches
  • Actual length = 18 inches * 26 feet/inch = 468 feet

For the second model (1 inch = 20 feet):

  • Length of model = 18 inches
  • Actual length = 18 inches * 20 feet/inch = 360 feet

Now, we calculate the difference between the actual sizes of the two boats:

  • Difference = 468 feet - 360 feet = 108 feet

Thus, the difference between the actual sizes of the two boats is 108 feet.

The answer is D. 108 feet.