Question

meghann drives 486 miles on the highway to visit her cousin. she uses cruise control to drive at a constant speed. Meghana travels 216 miles in the first 4 hours. At that rate, how long will the trip take?

Answer 1

Meghann drives at a constant speed of 54 miles/hour, covering 216 miles in 4 hours. To calculate the total travel time for a 486-mile trip, divide the total distance by the speed, resulting in a total travel time of 9 hours.

Step-by-step explanation:

The question asks us to calculate the total travel time for Meghann's trip, given that she drives 486 miles to visit her cousin and covers 216 miles in the first 4 hours. To find Meghann's constant driving speed, we use the formula for average speed, which is distance divided by time.

Meghann's speed can be calculated as:

Speed = 216 miles / 4 hours = 54 miles/hour

Now, to find the total travel time, we divide the total distance by the speed:

Total Travel Time = 486 miles / 54 miles/hour

Total Travel Time = 9 hours

Therefore, it will take Meghann 9 hours to complete her 486-mile trip at a constant speed of 54 miles/hour.

Answer 2

to find how long the trip will take, you first divide the number of miles she has already driven and divide by the time it has taken to get that far to get the unit rate,
216 miles/ 4 hours= 54 miles/ hour. Next take the number of total miles she has to drive and divide that by the unit rate you found earlier, 486 miles/ 54 mph , to get how long the entire trip will take her to complete, 486/ 54= 9 hours total. so she has only 5 hours left to drive