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------------------------------------------------ Cheyenne drove 3000 miles in 75 hours. At this rate, how long will it take her to drive 4000 miles?

Answer :

It will take Cheyenne 100 hours to drive 4000 miles at the same rate of 40 miles per hour.

To find how long it will take Cheyenne to drive 4000 miles at the same rate, we can calculate her average speed first.
Given 3000 miles in 75 hours,
Her average speed = 3000 miles / 75 hours = 40 miles/hour
Now, to calculate the time taken to drive 4000 miles:
Time = Distance / Speed = 4000 miles / 40 miles/hour = 100 hours.

75/3000=x/4000
times both sides by 1000
75/3=x/4
times both sides by 4
300/3=x
100=x

answer is 100 hours