Question

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

• A. 5/p
• B. p-5
• C. p + 5
• D. p/5
• E. 1-p+5

Hint:

For work-rate problems, always determine the rate first (e.g., jobs per hour, pages per minute). Once you have the rate, you can easily calculate the work done in any given amount of time.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
This problem is about calculating the rate of work. The rate is the amount of work done per unit of time.
Step 2: Key Formula or Approach:
The formula for work is: Work = Rate \( \times \) Time.
From this, we can derive the rate: Rate = Work / Time.
Step 3: Detailed Explanation:
First, we need to find Lynn's typing rate.
She completes 1 page (Work) in p minutes (Time).
\[ \text{Rate} = \frac{1 \text{ page}}{p \text{ minutes}} = \frac{1}{p} \text{ pages per minute} \] Now, we need to find out how much work (what piece of the page) she can do in 5 minutes.
We use the work formula with her rate and the new time.
\[ \text{Work done in 5 minutes} = \text{Rate} \times \text{Time} = \left(\frac{1}{p}\right) \times 5 = \frac{5}{p} \] Step 4: Final Answer:
Therefore, in 5 minutes, Lynn can type 5/p of the page. The correct option is (A).