Jessica can text 85 words per minute, while Maurice can text

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

Jessica can text 85 words per minute, while Maurice can text

by BTGmoderatorLU » Mon Jun 04, 2018 1:44 pm

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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

The OA is C.

I solved this PS question as follows,

Combined, they can text 95 words per minute.

So they will take 410,400 / 95 = 4320 mins to type the entire book

which is 4320/(60*24) days = 3 days.

I'll appreciate if anyone explains another way to solve it, please! Thanks!

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Source: Beat The GMAT — Problem Solving | Mon Jun 04, 2018 1:44 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

by deloitte247 » Sat Jul 28, 2018 1:19 pm

Jessica & Maurice together = 85 + 10 = 95 words per minute.
Time table to text 410,400 words
If the two text 95 words = 1 minutes
x word = 60 minutes
x = 95 * 60 = 5700
Therefore, the two can text 5700 words per hour.

If the two text 5700 word = 1 hour
x words = 24 hours
x = 5700 * 24 = 136800
Therefore, the two text 136,800 words in 1 day.
If the two text 136,800 words = 1 day
They will text 410,400 words = x days
$$\frac{136,800}{136,800}x\ =\ \frac{410,400}{136,800}$$
x = 3days

Option C is the correct answer.

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Thu Aug 02, 2018 10:41 am

BTGmoderatorLU wrote: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

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) â‰ˆ (25)(6000) â‰ˆ 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
â‰ˆ3

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 am; Location: New York, NY; Thanked: 39 times; Followed by:22 members

by Jeff@TargetTestPrep » Sat Aug 18, 2018 6:58 pm

BTGmoderatorLU wrote: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

Together they can text 85 + 10 = 95 words per minute, which means they can text 95 x 60 = 5,700 words per hour. Therefore, if we let x = the number of hours it takes for them to text the entire abridged translation of War and Peace, we have:

5,700x = 410,400

x = 410,400/5,700

x = 72 hours

Assuming they work 24 hours a day, it will take them 72/24 = 3 days to text the entire abridged translation of War and Peace.

Answer: C

Jeffrey Miller
Head of GMAT Instruction
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