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George is driving at an average speed of 70 miles per hour. At this rate, how long, in minutes, will it take him to complete a 400 -mile road trip?
(Round your answer to the nearest minute.)

George is driving at an average speed of $70$ miles per hour. At this rate, how long, in minutes, will it take him to complete a $400$ -mile road trip? $\newline$ (Round your answer to the nearest minute.)

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Rate of travel: word problems

Full solution

Q. George is driving at an average speed of

70

miles per hour. At this rate, how long, in minutes, will it take him to complete a

400

-mile road trip?

\newline

(Round your answer to the nearest minute.)

Calculate Time in Hours: First, we need to find out how many hours it will take by dividing the total distance by the speed. $\newline$ So, $400 \, \text{miles} \div 70 \, \text{mph} = 5.71428571 \, \text{hours}.$
Convert Hours to Minutes: Now, we convert hours to minutes because we want the answer in minutes. $\newline$ So, $5.71428571$ hours $\times 60$ minutes/hour $= 342.857143$ minutes.
Round to Nearest Minute: We need to round the answer to the nearest minute. $\newline$ So, $342.857143$ minutes rounds to $343$ minutes.

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