The time T required to drive a fixed distance varies inversely as the speed r. it takes five hours at 60 mph to drive a fixed distance. how long would it take to drive the fixed distance at 40 mph?

Thank you so much:)

t = k/r, where k is a constant

given: t = 5, r = 60
5 = k/60
k = 300

t = 300/r
when r = 40
t = 300/40 = 7.5 hrs

To solve this problem, we can use the formula for inverse variation:

T = k / r

where T is the time, r is the speed, and k is the constant of variation.

We are given that it takes 5 hours at 60 mph to drive a fixed distance. Plugging these values into the equation, we get:

5 = k / 60

To find the value of k, we can multiply both sides of the equation by 60:

300 = k

Now that we have the value of k, we can use it to answer the question: How long would it take to drive the fixed distance at 40 mph?

Plugging in the new speed, r = 40, into the formula, we get:

T = 300 / 40

Simplifying, we find:

T = 7.5 hours

Therefore, it would take 7.5 hours to drive the fixed distance at 40 mph.

To solve this problem, we need to use the inverse variation formula:

T = k/r

where T represents the time, r represents the speed, and k is a constant of variation.

Given that it takes 5 hours to drive the fixed distance at 60 mph, we can plug these values into the formula:

5 = k/60

To find the value of k, we can multiply both sides of the equation by 60:

5 * 60 = k
k = 300

Now that we know the value of k, we can use it to find the time required to drive the fixed distance at 40 mph:

T = k/r
T = 300/40
T = 7.5

Therefore, it would take 7.5 hours to drive the fixed distance at 40 mph.