Final answer:
To determine when the bus will have traveled 30 miles, we divide the distance by the speed (30 miles ÷ 20 mph = 1.5 hours) and add that to the starting time (4 p.m. + 1.5 hours = 5:30 p.m.). The correct answer is b. 5:30 p.m.
Step-by-step explanation:
The question involves calculating the time taken for a bus traveling at a constant speed to cover a certain distance. To find out when the bus will have traveled 30 miles, we can use the formula: Time = Distance ÷ Speed. Given the speed of the bus is 20 miles per hour, we divide the total distance (30 miles) by the speed (20 mph) to find the time it takes for the bus to travel 30 miles.
Time = 30 miles ÷ 20 miles per hour = 1.5 hours.
Since the employee boarded the bus at 4 p.m., and it takes the bus 1.5 hours to travel 30 miles, we need to add this time to the initial boarding time. Therefore:
4 p.m. + 1.5 hours = 5 p.m. + 30 minutes = 5:30 p.m.
The correct answer is b. 5:30 p.m.