Answer:
The answer to part (a) is 9 minutes. The answer to part (b) is that Derek reads faster than Sarah.
Explanation:
a. To solve this problem, we can use the formula:
time = distance / rate
where "distance" is the number of words in the article and "rate" is the reading speed in words per minute. We want to find the time it takes Derek to read the article, so we can plug in the given values:
time = 225 / 25
time = 9
Therefore, it would take Derek 9 minutes to read the 225 word article if he reads constantly until he is finished.
b. To determine who reads faster, we can compare the reading rates of Derek and Sarah. Derek's reading rate is 25 words per minute, and Sarah's reading rate is:
225 words / 10 minutes = 22.5 words per minute
Since Derek's reading rate is higher than Sarah's reading rate, we can conclude that Derek reads faster than Sarah.
How I got the question:
Here are the steps I took to answer the question:
a. To solve for how long it would take Derek to read a 225 word article:
Step 1: Identify the given information
Derek's reading rate is 25 words per minute
The article has 225 words
Step 2: Identify the formula to use
We can use the formula: time = distance / rate, where "distance" is the number of words in the article and "rate" is the reading speed in words per minute.
Step 3: Plug in the values and solve
distance = 225 words
rate = 25 words per minute
time = distance / rate = 225 / 25 = 9 minutes
Therefore, it would take Derek 9 minutes to read the 225 word article if he reads constantly until he is finished.
b. To compare Derek's and Sarah's reading rates and determine who reads faster:
Step 1: Identify the given information
Derek's reading rate is 25 words per minute and it takes him 9 minutes to read the article.
Sarah took 10 minutes to read the same 225 word article.
Step 2: Calculate Sarah's reading rate
Sarah's reading rate = distance / time = 225 words / 10 minutes = 22.5 words per minute
Step 3: Compare the reading rates of Derek and Sarah
Derek's reading rate is 25 words per minute and Sarah's reading rate is 22.5 words per minute.
Step 4: Interpret the answer
Since Derek's reading rate is higher than Sarah's reading rate, we can conclude that Derek reads faster than Sarah.
I hope this helps you understand how to approach these types of problems! If it didn't help you, I'm sorry. If you need more help (or have questions) feel free to ask me! :]