Answer :

It will take 100 hours to drive 4000 miles if a student previously covered 3000 miles in 75 hours, maintaining the same rate of 40 miles per hour.

Calculating Travel Time

To determine how long it will take to drive 4000 miles at the same rate as 3000 miles in 75 hours, we can use the concept of rate (also known as speed), which is distance traveled divided by time. The student first drove 3000 miles in 75 hours, so the rate is:

Rate = 3000 miles / 75 hours = 40 miles/hour
Using this rate, we can find out how long it will take to cover 4000 miles:

Time = Distance / Rate
Time = 4000 miles / 40 miles/hour
Time = 100 hours
Therefore, as per the above explaination, at the same rate, it will take 100 hours to drive 4000 miles.

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Rewritten by : Barada

Answer:

Step-by-step explanation:

First, we need to find the rate. miles/hours. 3000/75 = 40mph (miles per hour). to find the answer we need to divide the rate by the distance they want us to find. to see a deeper explanation of why scroll past the answer. 4000/40 = 100 hours.

deeper explanation:

we can set the numbers given to us equal to what we are looking for.

miles/hour

3000/75 = 4000/x x being the time we are looking for

cross multiply 3000x=300000

divide by 3000 x=100 hours