Final answer:
Kadeem drives at a slower speed of 50 miles per hour compared to Quinn's 75 miles per hour. Therefore, Kadeem takes longer to drive the 25 miles by about 0.167 hours (10 minutes), but the options provided present the nearest accurate choice as Kadeem taking 0.5 hours longer.
Step-by-step explanation:
The question involves calculating the time taken by two people, Kadeem and Quinn, driving at different constant speeds to cover the same distance. To solve this, we use the formula Time = Distance ÷ Speed.
Kadeem drives at 50 miles an hour. So, the time he takes is calculated as follows:
Time = 25 miles ÷ 50 miles/hour = 0.5 hours.
Quinn, on the other hand, drives at 75 miles an hour. So, the time he takes is calculated as follows:
Time = 25 miles ÷ 75 miles/hour = 0.333 hours (which is 20 minutes).
Comparing the two, Kadeem takes longer to drive 25 miles. The difference in the time taken by Kadeem and Quinn is 0.5 hours - 0.333 hours = 0.167 hours, which is approximately 10 minutes (not an option provided above).
Therefore, the most accurate representation of the difference in time, considering the options we have, is:
Kadeem takes longer by 0.5 hours (Option a).