Alex can type 720 words in 15 min while James can type 799 words in 17 min.Who can type at a faster rate?

1. Break Down the Problem

To determine who can type at a faster rate, we need to find the typing rates of both Alex and James in words per minute (WPM). This involves calculating the rates by dividing the number of words typed by the time taken in minutes.

2. Relevant Concepts

The formula to calculate the typing rate is:

$\text{Typing Rate} = \frac{\text{Number of Words}}{\text{Time in Minutes}}$

3. Analysis and Detail

1. Calculate Alex's typing rate:

   • Alex types 720 words in 15 minutes. $\text{Alex's Rate} = \frac{720 \text{ words}}{15 \text{ min}} = 48 \text{ WPM}$

2. Calculate James's typing rate:

   • James types 799 words in 17 minutes. $\text{James's Rate} = \frac{799 \text{ words}}{17 \text{ min}} \approx 47 \text{ WPM}$

4. Verify and Summarize

• Alex types at a rate of 48 WPM.
• James types at a rate of approximately 47 WPM.

Final Answer

Alex can type at a faster rate of 48 words per minute compared to James's speed of approximately 47 words per minute.