Question

7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red lights. (a) (1 pt.) Find the distance of her commute.​

Answer 1

The distance of the student's commute is calculated by multiplying her speed by the time spent driving, converting minutes to hours. During 10 minutes at 30 mph, she travels 5 miles as there are no red lights during this time.

Step-by-step explanation:

To find the distance of her commute, we will calculate the distance covered during the time she was driving and then add any additional distance if applicable (in this case, there is no additional distance since the car was stopped during the 5 minutes at red lights).

First, we have the driving part:

• Speed = 30 miles per hour (mph)
• Time = 10 minutes

To find the distance, we will use the formula:

Distance = Speed × Time

However, we need to convert the time from minutes to hours to match the units of speed (mph). There are 60 minutes in an hour, so:

Time in hours = 10 minutes ÷ 60 minutes per hour = 1/6 hours

Now calculate the distance:

Distance = 30 mph × 1/6 hours = 5 miles

Therefore, the distance of her commute to school is 5 miles.

Answer 2

Total distance = 5 miles

Step-by-step explanation:

Given:

Total time for drive = 10 min = 10 / 60 = 1/6 hour

Time for stop = 5 min

Speed = 30 miles pr hour

Find:

Total distance

Computation:

Total distance = Speed × time

Total distance = 30 × (1/6)

Total distance = 5 miles