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The Fernandez family drove 273 miles in 5.25 hours. How far would they have driven at that rate in 4 hours?

(A) 208 miles
(B) 220 miles
(C) 280 miles
(D) 358 miles

1 Answer

6 votes

Final answer:

The correct answer is option (A) 208 miles. The Fernandez family's average speed was 52 miles per hour, and at this rate, they would have traveled 208 miles in 4 hours.

Step-by-step explanation:

To find the distance the Fernandez family could travel in four hours, we need to calculate their average speed during the 5.25 hours. The average speed is the total distance traveled divided by the time taken. Thus, their average speed was 273 miles divided by 5.25 hours, which equals approximately 52 miles per hour. To find out how far they would have driven at this rate in 4 hours, we multiply the average speed by 4 hours, which is 52 miles/hour x 4 hours = 208 miles.

To find the distance the Fernandez family would have driven in 4 hours, we can set up a proportion using the given information:

Distance / Time = Distance / Time

273 miles / 5.25 hours = x miles / 4 hours

Cross-multiply and solve for x:

(273 miles * 4 hours) / 5.25 hours = x miles

1092 miles / 5.25 hours = x miles

Simplify:

x = 208 miles

So, the family would have driven 208 miles in 4 hours.

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