the time t required to drive a certain distance varies inversely with the speed r. if it takes 4 hours to drive the distance at 35 miles per hour, how long will it take to drive the same distance at 45 miles per hour

Answer 1

Using the formula for inverse variation, we have:

t = k/r

where k is a constant of proportionality. To find k, we can use the information given in the problem:

4 hours = k/35 miles per hour

Multiplying both sides by 35, we get:

k = 4 hours x 35 miles per hour = 140

Now we can use this value of k to answer the question:

t = 140/45 miles per hour = 3.11 hours (rounded to two decimal places)

Therefore, it will take about 3.11 hours to drive the same distance at 45 miles per hour.