Answer:
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
