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?
Janelle will take approximately 2.5 hours to travel 20 miles.
To find the time it takes for Janelle to travel 20 miles, we first calculate her speed based on the distance and time provided. Traveling 9.7 miles in 1.2 hours gives a speed of about 8.08 miles per hour. Using this speed, we can then determine that traveling 20 miles will take approximately 2.5 hours.
If Janelle traveled 20 miles in 2 hours, her speed would need to be 10 miles per hour. This speed is higher than the calculated speed of approximately 8.08 miles per hour, making this option incorrect.
This option correctly reflects the calculation based on Janelle's speed of approximately 8.08 miles per hour. By using the formula time = distance/speed, we find that 20 miles at this speed results in about 2.5 hours, confirming this as the correct choice.
Traveling 20 miles in 5 hours would imply a speed of only 4 miles per hour. This is significantly lower than Janelle's calculated speed of approximately 8.08 miles per hour, and thus cannot be correct.
If Janelle took 5.5 hours to travel 20 miles, her speed would be approximately 3.64 miles per hour, which is much lower than her actual rate of 8.08 miles per hour. Therefore, this option is also incorrect.
Calculating the time needed for Janelle to cover 20 miles at her established speed reveals that it will take approximately 2.5 hours. This conclusion is reached by analyzing her speed and applying it consistently to the new distance, confirming option B as the most accurate answer.
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