Question

A truck driver traveling on the highway drives at a speed, s, in miles per hour, that satisfies the inequality below. S-64 Based on the solution to the inequality, what is the greatest possible number of hours it will take the bus driver to travel 341 miles on the highway?

Answer 1

To find the greatest possible number of hours it will take the truck driver to travel 341 miles, we can use the equation Time = Distance / Speed. Substituting the given values, we can calculate the answer.

Step-by-step explanation:

In order to find the greatest possible number of hours it will take the truck driver to travel 341 miles, we need to use the equation Time (in hours) = Distance (in miles) / Speed (in miles per hour).

The truck driver's speed, denoted by 's', satisfies the inequality S - 64.

Substituting the given distance of 341 miles into the equation, we have Time = 341 / (S - 64).

To find the greatest possible number of hours, we need to find the minimum value of the denominator, which occurs when S reaches its maximum value. The maximum value of S occurs at the upper bound of the interval [300, 700], which is 700.

Therefore, the greatest possible number of hours it will take the truck driver to travel 341 miles is 341 / (700 - 64) = 341 / 636.