Final answer:
To find the equivalent rate, set up a ratio of the two rates, cross multiply, and solve for x. The equivalent rate is 40 miles per 5 hours.
Step-by-step explanation:
To convert a rate from one set of units to another set of units, we can use the concept of equivalent rates. In this case, we have the rate 320 miles per 40 hours, and we want to find an equivalent rate in miles per 5 hours.
To find the equivalent rate, we can set up a ratio of the two rates:
(320 miles) / (40 hours) = (x miles) / (5 hours)
To solve for x, we can cross multiply and then divide:
320 * 5 = 40 * x
Simplifying this equation gives us:
1600 = 40x
Dividing both sides by 40, we find:
x = 1600 / 40 = 40 miles
Therefore, the equivalent rate is 40 miles per 5 hours.