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02 Dec 2012, 02:08
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Jessica can text 85 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
A. 0.3
B. 1.3
C. 3
D. 9
E. 11.3
A. 0.3
B. 1.3
C. 3
D. 9
E. 11.3
02 Aug 2018, 11:50
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Jessica can text 85 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
A. 0.3
B. 1.3
C. 3
D. 9
E. 11.3
A. 0.3
B. 1.3
C. 3
D. 9
E. 11.3
Since the answer choices are somewhat spread apart, we can probably use some estimation...
Jessica can text 85 words per minute, while Maurice can text 10 words per minute
So, COMBINED, they can text 95 words per minute
Let's round this up to 100 words per minute
So, the number of words PER HOUR = (100)(60) = 6000
And, the number of words PER DAY = (24)(6000) ≈ (25)(6000) ≈ 150,000
So, COMBINED, the two people can text approximately 150,000 words per day
Working together, how many days will it take Jessica and Maurice to text 410,400 words?
Time = output/rate
= 410,400/150,000
≈3
Answer: C
RELATED VIDEO
Updated on: 29 Oct 2022, 10:56
Originally posted by BrushMyQuant on 02 Dec 2012, 02:12.
Last edited by BrushMyQuant on 29 Oct 2022, 10:56, edited 1 time in total.
Last edited by BrushMyQuant on 29 Oct 2022, 10:56, edited 1 time in total.
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Given that Jessica can text 85 words per minute, while Maurice can text 10 words per minute. An abridged English translation of Tolstoy’s War and Peace contains 410,400 words. And we need to find Working together, how many days will it take Jessica and Maurice to text the entire abridged translation of War and Peace?
Rate of Jessica = 85 words/min
Rate of Maurice = 10 words/min
When they work together then their Combined Rate = Rate of Jessica + Rate of Maurice = 85 + 10 = 95words/min
Using, Rate * Time = Work Done
=> 95 words/min * Time = 410,400 words
=> Time = 410,400/95 mins = 4,320mins = 4320/60 hours = 72hours = 72/24 days = 3 days
So, Answer will be C
Hope it helps!
Watch the following video to learn How to Solve Work Rate Problems
Rate of Jessica = 85 words/min
Rate of Maurice = 10 words/min
When they work together then their Combined Rate = Rate of Jessica + Rate of Maurice = 85 + 10 = 95words/min
Using, Rate * Time = Work Done
=> 95 words/min * Time = 410,400 words
=> Time = 410,400/95 mins = 4,320mins = 4320/60 hours = 72hours = 72/24 days = 3 days
So, Answer will be C
Hope it helps!
Watch the following video to learn How to Solve Work Rate Problems
