Question

Select the correct answer from each drop-down menu. Megan's commute to work includes an 8-mile drive and a 21-mile train ride. This expression can be used to find the total time it takes Megan to get to work, where x is her average driving speed in miles/hour. The average speed of the train is represented by _____. When Megan drives at an average speed of 45 miles/hour, it takes her approximately _____ to get to work.

1) x; 0.5 hours
2) x; 0.6 hours
3) 21; 0.5 hours
4) 21; 0.6 hours

Answer 1

To find the total time it takes Megan to get to work, we need to add the time it takes for her to drive and the time it takes for her to ride the train. When Megan drives at an average speed of 45 miles/hour, it takes her approximately 0.2 hours (or 12 minutes) to drive. Therefore, the correct answer is 1) x; 0.5 hours.

Step-by-step explanation:

To find the total time it takes Megan to get to work, we need to add the time it takes for her to drive and the time it takes for her to ride the train. The driving time can be calculated by dividing the distance of the drive (8 miles) by Megan's average driving speed (x miles/hour). The train ride takes a fixed amount of time, so we don't need to use the speed of the train to calculate it.

When Megan drives at an average speed of 45 miles/hour, it takes her approximately 0.2 hours (or 12 minutes) to drive. To check this, we divide the distance of the drive (8 miles) by the driving speed (45 miles/hour): 8 miles / 45 miles/hour = 0.1778 hours. Rounding to the nearest hundredth gives us 0.18 hours, which is approximately 0.2 hours.

Therefore, the correct answer is 1) x; 0.5 hours.