1. 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?
Answer: B
The best estimate of the time for Yoko's trip is 13 hours.
To estimate the time for Yoko's trip from New York to Tokyo, we can use the formula time = distance/speed. Given the distance of 6,735 miles and an average speed of 529 miles per hour, the calculation yields approximately 12.7 hours, which rounds to the nearest hour as 13 hours.
A) 11 hours
This option is incorrect because estimating the time as 11 hours implies an average speed that is significantly higher than 529 miles per hour, resulting in a total distance covered that does not match the distance from New York to Tokyo.
B) 13 hours
This option is the best estimate. By dividing the total distance of 6,735 miles by the speed of 529 miles per hour, we obtain approximately 12.7 hours. This rounds to 13 hours, making it the most accurate estimate of the trip duration.
C) 15 hours
This option is also incorrect. Estimating the time as 15 hours would suggest a slower average speed than what is calculated, extending the trip duration unnecessarily and deviating from the actual calculation based on given parameters.
D) 17 hours
This option overestimates the trip duration. A time estimate of 17 hours would imply a much slower average speed than 529 miles per hour, which does not accurately reflect the travel conditions.
Conclusion
The correct estimate of 13 hours is supported by the calculation of time based on the distance and speed provided. All other options either underestimate or overestimate the trip duration, failing to align with the mathematical reasoning derived from the given data. Thus, option B stands out as the most precise estimate for Yoko's journey.