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29 Sep 2015, 21:32
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D
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Difficulty:
45%
(medium)
Question Stats:
65% (01:40) correct
35%
(01:45)
wrong
based on 1206
sessions
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A stenographer is tasked with typing a certain letter. How many words long is the letter?
(1) It will take two minutes less time to type the letter at an average speed of 80 words per minute than at an average speed of 60 words per minute.
(2) It will take 6 minutes to type the first half of the letter at an average speed of 40 words per minute.
(1) It will take two minutes less time to type the letter at an average speed of 80 words per minute than at an average speed of 60 words per minute.
(2) It will take 6 minutes to type the first half of the letter at an average speed of 40 words per minute.
06 Oct 2015, 08:25
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Bunuel
VERITAS PREP OFFICIAL SOLUTION:
Question Type: What Is the Value? This question asks for a specific number indicating the length—in words—of the letter.
Statement 1: This statement can be translated into the following equation: “(t – 2) 80 = t (60)” where t is the number of minutes it takes to type the letter at a rate of 60 words per minute. This equation then simplifies to “80t – 160 = 60t.” Subtract 60t from both sides and add 160 to each, and the equation becomes “20t = 160” and “t = 8.” Therefore 8 • 60 gives a total of 480 words. Of course the equation did not have to be solved. As soon as you got (t – 2) 80 = 60t you should see that this is a linear equation with just one variable and it can be solved for a single value. This is sufficient. The answer is either A or D.
Statement 2: This statement can be translated into an equation using the formula w = rt (work = rate • time). The work is 1/2 of the letter. The rate is 40 words per minute and the time is 6 minutes. The equation is “ 1/2*w = 40*6” or “1/2*w = 240” and “w = 480.” This statement is sufficient as well; the answer is D.
General Discussion
camlan1990
Joined: 11 Sep 2013
Last visit: 19 Sep 2016
Posts: 95
Given Kudos: 26
Schools: Kenan-Flagler '17 SMU '17 McCombs '19
30 Sep 2015, 10:14
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Bunuel
(1) It will take two minutes less time to type the letter at an average speed of 80 words per minute than at an average speed of 60 words per minute.
80(t-2) = 60t => t => the number of words long => SUFFICIENT
2) It will take 6 minutes to type the first half of the letter at an average speed of 40 words per minute.
Typing the letter will spend 12 mins => the number words: 40*12 => SUFFICIENT
Ans: D
