Yoko is planning a trip from New York to Tokyo. She will travel on a commercial airliner that flies at an average speed of 529 miles per hour. If the distance from New York to Tokyo is 6,735 miles, which of the following is the best estimate of the time, in hours, of her trip?
Yoko's trip from New York to Tokyo will take approximately 13 hours.
To estimate the travel time, we can use the formula: time = distance ÷ speed. By dividing the total distance of 6,735 miles by the average speed of 529 miles per hour, we find the estimated travel time to be around 12.7 hours, which is best rounded to 13 hours for practical purposes.
Estimating the trip duration at 11 hours would imply a significantly higher average speed than 529 miles per hour. To cover 6,735 miles in 11 hours, Yoko would need to fly at approximately 612.27 miles per hour, which exceeds typical commercial airliner speeds.
This choice accurately reflects a reasonable estimate of the travel time based on the calculation of distance divided by speed. The calculated time of approximately 12.7 hours rounds to 13 hours, making this the most appropriate answer.
Selecting 15 hours would suggest a slower average speed than necessary. To fly 6,735 miles in 15 hours, Yoko would need to average 449 miles per hour, which is below the speed of the airliner in question.
An estimate of 17 hours is also too long for this trip. If Yoko were to take 17 hours for her journey, she would be traveling at about 395 miles per hour, which is considerably less than the average speed of 529 miles per hour.
When estimating travel times, it is crucial to apply the correct calculations based on distance and speed. Yoko's trip from New York to Tokyo, given the parameters provided, will take approximately 13 hours, making that the best estimate among the choices. All other options either overestimate or underestimate the required travel time based on the average speed of the aircraft.
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