13. Lanelle traveled 9.7 miles of her delivery route in 1.2 hours. At this same rate, which of the following is closest to the time it will take for Janelle to travel 20 miles?
Answer: B
Janelle will take approximately 2.5 hours to travel 20 miles.
To determine how long it will take Janelle to travel 20 miles, we first calculate her speed based on Lanelle's travel data. Lanelle's speed is 9.7 miles divided by 1.2 hours, which is approximately 8.08 miles per hour. At this speed, it will take about 2.5 hours to travel 20 miles.
A) 2 hours
This option suggests that Janelle could complete the 20-mile journey in 2 hours, implying a speed of 10 miles per hour. However, since Lanelle's speed is approximately 8.08 miles per hour, this estimate underestimates the time required, making it an incorrect choice.
B) 2.5 hours
This option accurately reflects the time required for Janelle to travel 20 miles at Lanelle's speed. The calculation shows that at approximately 8.08 miles per hour, Janelle would cover 20 miles in about 2.5 hours, making this the correct answer.
C) 5 hours
This option suggests a significantly longer duration for the 20-mile trip. At Lanelle's speed, 5 hours would yield a distance of 40.4 miles, which is much more than 20 miles. Therefore, this option is incorrect.
D) 5.5 hours
Similarly, this option indicates an even longer time for the journey, suggesting a distance of 44.4 miles at Lanelle's speed. This is also incorrect because it exceeds the 20-mile distance significantly.
Conclusion
In summary, the correct answer is B, as it accurately calculates the time needed for Janelle to travel 20 miles at Lanelle's speed of approximately 8.08 miles per hour. All other options either underestimate or overestimate the time required, demonstrating a misunderstanding of the rate and distance relationship.