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
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.