Question

Two groups of hikers left camp at the same time. Each traveled at a constant rate. Group A covered 3/4 mile per 1/2 hour. What is the unit rate for group A? (miles per hour)

Answer 1

The unit rate for Group A is 1.5 miles per hour, found by multiplying the distance they covered in half an hour by 2 to get the rate for one full hour.

Step-by-step explanation:

To find the unit rate for Group A in terms of miles per hour (mph), we can set up a proportion since they covered 3/4 mile in 1/2 hour. To convert this to a unit rate of miles per hour, we simply multiply the distance by 2 since there are 2 halves in a whole (1 hour).

So, the calculation will be:

(3/4 mile) × (2 / 1/2 hour) = (3/4) × 2/1 = 3/2 = 1.5 miles per hour.

Therefore, the unit rate for Group A is 1.5 miles per hour.