1. The time t that it takes for a salesman to drive a certain distance d varies inversely as the average speed r. It takes the salesman 4.75 h to travel between two cities at 50 mi/h.
How long would the drive take at 50 mi/h?
Again, what is you question?
To find out how long the drive would take at 50 mi/h, we can use the inverse variation formula.
The inverse variation formula states that when two variables, in this case, time (t) and average speed (r), vary inversely, their product is constant. Mathematically, it can be represented as:
t * r = k
Where k is the constant of variation.
Given that it takes the salesman 4.75 hours (t) to travel between two cities at 50 mi/h (r), we can substitute these values into the formula to solve for k:
4.75 * 50 = k
k = 237.5
Now that we have the value of k, we can use it to find the time it would take at 50 mi/h. Let's call it t2:
t2 * 50 = 237.5
Divide both sides of the equation by 50:
t2 = 237.5 / 50
t2 = 4.75
Therefore, the drive would still take 4.75 hours at 50 mi/h.