The time, t, required to drive a certain distance varies inversely with the speed, r. If it takes 7 hours to drive the distance at 55 miles per hour, how long will it take to drive the same distance at 65 miles per hour? (1 point)
THATS NOT THE WRITE ANWSER ITS 5.92 HRS
"see the other pose" you didn't even give the answer moron.
5.95 hours
*** Right ***answer
@anonymous
oh ok ^.^
To solve this problem, we can use the concept of inverse variation. Inverse variation means that as one variable increases, the other variable decreases, and vice versa.
We are given that the time, t, required to drive a certain distance varies inversely with the speed, r. Mathematically, this can be represented as:
t = k/r
where k is a constant of variation.
We can use the given information to find the value of k. We are told that it takes 7 hours to drive the distance at 55 miles per hour. Substituting the given values into the inverse variation equation, we get:
7 = k/55
To find the value of k, we can cross-multiply and solve for k:
7 * 55 = k
385 = k
Now that we know the value of k, we can use it to find the time required to drive the same distance at 65 miles per hour.
t = k/r
Substituting the value of k and the new speed, we get:
t = 385/65
Dividing 385 by 65, we find that t is equal to:
t ≈ 5.92 hours
Therefore, it will take approximately 5.92 hours to drive the same distance at 65 miles per hour.