Answer:
s ≤ 9
Explanation:
Let's call the number of miles Eugene needs to ride in the next 3 hours "x". Then, to meet his goal of riding at least 40 miles today, the total number of miles he will ride can be expressed as:
13 + x
Since he has 3 more hours to ride, he needs to ride at a certain average speed (in miles per hour) to cover the remaining distance "x" within these 3 hours. Let's call this speed "s".
Then, we can write an inequality to represent this situation as:
x/s ≤ 3
This inequality says that the distance "x" divided by the speed "s" should be less than or equal to 3 hours. Multiplying both sides by "s", we get:
x ≤ 3s
Now, we can combine this inequality with the expression for the total distance Eugene needs to ride:
13 + x ≥ 40
This inequality says that the sum of the distance Eugene already rode (13 miles) and the remaining distance he needs to ride ("x") should be greater than or equal to 40 miles.
Substituting x ≤ 3s into this inequality, we get:
13 + 3s ≤ 40
Solving for s, we get:
3s ≤ 27
s ≤ 9
Therefore, Eugene needs to ride at a speed of at least 9 miles per hour in the next 3 hours to meet his goal of riding at least 40 miles today.