To determine how long it will take Heidi to get to school at a speed of 40 mph, we need to calculate the travel time using the distance and speed formula: Time = Distance / Speed.
Given that Heidi took 10 minutes (1/6 hour) to get to school at a speed of 27 mph, we can calculate the distance she traveled using the formula: Distance = Speed * Time.
Distance = 27 mph * (1/6 hour) = 4.5 miles
Now, we can find the time it will take her to get to school at a speed of 40 mph:
Time = Distance / Speed = 4.5 miles / 40 mph = 0.1125 hours
To convert hours to minutes, we multiply the decimal part by 60:
0.1125 hours * 60 minutes/hour = 6.75 minutes
Therefore, it will take Heidi approximately 6.75 minutes to get to school at a speed of 40 mph.