Eli takes a typing test and types all 420 words in 1/20 hour. He takes the test a second time and types the words in 1/30 hour. Was he faster or slower on the second attempt? Complete the explanation.
Eli typed _ on his second attempt. He typed words per minute on his first attempt and __ words per minute on his second attempt.

Question

16-10-2014
Mathematics

Answered

Eli takes a typing test and types all 420 words in 1/20 hour. He takes the test a second time and types the words in 1/30 hour. Was he faster or slower on the second attempt? Complete the explanation.
Eli typed _ on his second attempt. He typed words per minute on his first attempt and __ words per minute on his second attempt.

Answer :

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To find if Eli was slower or faster in the second attempt we need to find a common denominator of both 1/20 and 1/30 hour.

1/20 = 3/60
1/30 = 2/60

We can now see that he made the first test in 3 minutes and the second test in 2 minutes.

If there were 420 words to rewrite, then he did 420 / 3 = 140 words per minute in the first attempt and 420 / 2 = 210 words per minute in the second attempt. So to complete the explanation:

Eli typed faster on his second attempt. He typed 140 words per minute on his first attempt and 210 words per minute on his second attempt.