The time, t, required to drive a fixed distance varies inversely as the speed, r. It takes 8 hr at a speed of 15 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 29 km/h? The time taken to drive the same distance at a speed of 29 km/h is nothing ▼ minutes. seconds. hrs.

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

The time, t, required to drive a fixed distance varies inversely as the speed, r. By introducing a constant of variation, k (the fixed distance), the expression becomes

t = k/r

It takes 8 hr at a speed of 15 km/h to drive a fixed distance. It means that

8 = k/15

k = 8 * 15 = 120

The equation becomes

t = 120/r

Therefore, the time it will take to drive the same distance at a speed of 29 km/h is

t = 120/29 hours

Converting to minutes, it becomes

120/29 * 60

= 248. 28 minutes

248 minutes, 28 seconds