Question

Eli takes a typing test and types all 300 words in 1/10 hour. He takes the test a second time and types the words in 1/12 hour. Was he faster the 2nd attempt?

Answer 1

He types the words faster the second attempt.

Explanation:

When Eli types the words in a shorter period of time, he is faster when writing the words for his typing test. We can model which period of time is shorter by the simple inequality-

1/12 (second attempt) < 1/10 (first attempt)

This is, in ratio to minutes, this inequality-

5 minutes < 6 minutes

This means Eli's time writing the second time is shorter, making it the faster time.

Answer 2

Eli is faster the 2nd attempt

Explanation:

If you do 1 divided by 10 you get 0.1 and if you do 1 divided by 12 you get 0.08. 0.1 is bigger than 0.08.