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192 miles divided by 3 hours = 64 miles per hour 448 miles / 64 miles per hour = 7 hours total for the trip

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Answer:

7 hours

Step-by-step explanation:

Kelly drives 448 miles on the highway to visit her cousin. She uses cruise control to drive at a constant speed . Kelly travels 192 miles in the first 3 hours. At that rate, how long will the trip take?

Solution:

Speed is the rate of change of distance with respect to time. The speed of an object tells us how fast the object is. Speed is the ratio of distance travelled to total time take, it is given by the formula:

Speed = distance / time

From the question, Kelly travels 192 miles in the first three hours, hence her speed is:

Speed = distance / time

Speed = 192 miles / 3 hours = 64 miles per hour

At constant speed, the time taken to drive 448 miles is:

Speed = distance / time

64 miles per hour = 448 miles / time

time = 448 miles / 64 miles per hour

time = 7 hours

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