To solve this problem, let's analyze the given information:

Given:

• Art mows $\frac{1}{8}$ acre in $\frac{1}{4}$ hour.
• We need to find out how many acres Art mows per hour.

Solution:

To determine how many acres Art mows per hour, we divide the amount of acres mowed by the time it takes.

$\text{Rate} = \frac{\text{acres mowed}}{\text{time taken}} = \frac{\frac{1}{8} \text{ acre}}{\frac{1}{4} \text{ hour}}$

We can simplify this division: $\frac{\frac{1}{8}}{\frac{1}{4}} = \frac{1}{8} \times \frac{4}{1} = \frac{4}{8} = \frac{1}{2}$

Therefore, Art mows $\frac{1}{2}$ acre per hour.

Correct Answer:

The answer is (a) $\frac{1}{2}$ acre.

It seems the chosen answer of 2 acres (option d) is incorrect.

Would you like further details or have any questions?

Related Questions

1. If Art mows $\frac{1}{8}$ acre in $\frac{1}{4}$ hour, how many acres would he mow in 2 hours?
2. How much time would it take Art to mow 1 acre at his current rate?
3. If another person mows twice as fast as Art, how many acres would that person mow in 1 hour?
4. If Art's mowing rate increases by 50%, how many acres would he mow per hour?
5. If Art mows $\frac{1}{8}$ acre in $\frac{1}{4}$ hour, how many hours will it take him to mow 3 acres?

Tip

When dealing with rates, dividing the quantity by the time gives you a unit rate (per hour, per minute, etc.). This technique is especially useful for finding speeds, efficiency, and productivity.