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 60 mi/h . how long would the drive take ?
285 miles to travel between two cities
To find out how long the drive would take, we need to use the inverse variation formula. In this case, the formula is: t = k/r, where t is the time, r is the speed, and k is the constant of variation.
First, let's find the value of k using the given information. We know that it takes the salesman 4.75 hours (t) to travel between two cities at 60 miles per hour (r).
Substituting these values into the formula, we get: 4.75 = k/60.
To find the value of k, we can solve this equation for k. Multiply both sides of the equation by 60: 4.75 * 60 = k.
So, k = 285.
Now that we have the value of k, we can use it to find how long the drive would take at a different speed. Let's say the new speed is x miles per hour. Using the inverse variation formula, we have: t = 285/x.
Now we can substitute the new speed into the formula to find the new time. If you provide the new speed (x), I can calculate the time it would take for the drive.