A class is practicing their typing skills. They want to find out who is the most efficient typist.

A 3-column table with 4 rows. Column 1 is labeled Name with entries James, Shanya, Tristan, Ebony. Column 2 is labeled number of words with entries 15, 120, 30, 100. Column 3 is labeled time (seconds) with entries 30, 40, 20, 50.

Find the unit rate for each person’s typing test in words per second.

0.5 words/second is the unit rate for James.

3 words/second is the unit rate for Shanya.

words/second is the unit rate for Tristan.

words/second is the unit rate for Ebony.
So,
is the fastest typist.

1 answer

To find the unit rate in words per second for each person, we can divide the number of words they typed by the time it took them in seconds.

  1. James:

    • Words: 15
    • Time: 30 seconds
    • Unit rate: \( \frac{15 \text{ words}}{30 \text{ seconds}} = 0.5 \) words/second
  2. Shanya:

    • Words: 120
    • Time: 40 seconds
    • Unit rate: \( \frac{120 \text{ words}}{40 \text{ seconds}} = 3 \) words/second
  3. Tristan:

    • Words: 30
    • Time: 20 seconds
    • Unit rate: \( \frac{30 \text{ words}}{20 \text{ seconds}} = 1.5 \) words/second
  4. Ebony:

    • Words: 100
    • Time: 50 seconds
    • Unit rate: \( \frac{100 \text{ words}}{50 \text{ seconds}} = 2 \) words/second

Now we can summarize the unit rates:

  • James: 0.5 words/second
  • Shanya: 3 words/second
  • Tristan: 1.5 words/second
  • Ebony: 2 words/second

The fastest typist is Shanya with a rate of 3 words/second.