If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
a. 63
b. 72
c. 144
d. 216
e. 400
xtremepapers.com
typists working at the same rate
This topic has expert replies
- sanju09
- GMAT Instructor
- Posts: 3650
- Joined: Wed Jan 21, 2009 4:27 am
- Location: India
- Thanked: 267 times
- Followed by:80 members
- GMAT Score:760
The mind is everything. What you think you become. -Lord Buddha
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com
- neelgandham
- Community Manager
- Posts: 1060
- Joined: Fri May 13, 2011 6:46 am
- Location: Utrecht, The Netherlands
- Thanked: 318 times
- Followed by:52 members
20 typists can type 48 letters in 20 minutes,
Implies, 1 Typist can type 48/20 letters in 20 minutes.
Implies, 1 Typist can type 48/(20*20) letters in 1 minute.
Implies, 30 Typists can type (48*30)/(20*20) letters in 1 minute.
Implies, 30 Typists can type (48*30*60)/(20*20) letters in 60 minutes(An hour).
(48*30*60)/(20*20) = [spoiler]12*18 = 216[/spoiler]. Answer : D
Implies, 1 Typist can type 48/20 letters in 20 minutes.
Implies, 1 Typist can type 48/(20*20) letters in 1 minute.
Implies, 30 Typists can type (48*30)/(20*20) letters in 1 minute.
Implies, 30 Typists can type (48*30*60)/(20*20) letters in 60 minutes(An hour).
(48*30*60)/(20*20) = [spoiler]12*18 = 216[/spoiler]. Answer : D
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
-
- Master | Next Rank: 500 Posts
- Posts: 401
- Joined: Tue May 24, 2011 1:14 am
- Thanked: 37 times
- Followed by:5 members
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Look for an easy way to convert:sanju09 wrote:If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
a. 63
b. 72
c. 144
d. 216
e. 400
xtremepapers.com
20 typists producing 48 pages in 20 minutes
implies
10 typists producing 24 pages in 20 minutes
which implies
3*10 = 30 typists producing 3*24 = 72 pages in 20 minutes
which implies
30 typists producing 3*72 = 216 pages in 3*20 = 60 minutes.
The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
- vaibhavgupta
- Master | Next Rank: 500 Posts
- Posts: 416
- Joined: Tue Aug 30, 2011 2:18 pm
- Location: Delhi, India
- Thanked: 13 times
- Followed by:9 members
Dsanju09 wrote:If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
a. 63
b. 72
c. 144
d. 216
e. 400
xtremepapers.com
20 people take 20 min to type 48 letters ,so in 60 minutes these people will type (48*3) or 48+48+48 == 144 letters . This leaves us with D and E .
At this stage we can take a decent guess that 10 people at the same rate can not take it to 400 and the answer is D .
To be on the safer side 10 people will type 24 letters in 20 minutes and that adds to 72 in 60 min. So the total is 144+72 (216)
At this stage we can take a decent guess that 10 people at the same rate can not take it to 400 and the answer is D .
To be on the safer side 10 people will type 24 letters in 20 minutes and that adds to 72 in 60 min. So the total is 144+72 (216)
- ravirajsitaram
- Newbie | Next Rank: 10 Posts
- Posts: 5
- Joined: Sun Sep 11, 2011 2:39 am
20 typists , 20 minutes - 48 letters.. 1 typist 1 min -- 48 / (20 * 20)
30 typists , 60 minutes = 48 * 30 * 60 / (20 * 20)
30 typists , 60 minutes = 48 * 30 * 60 / (20 * 20)
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7223
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can set up a proportion to determine the rate n (number of letters per minute) of 30 typists.sanju09 wrote:If 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
a. 63
b. 72
c. 144
d. 216
e. 400
20 typists / rate of those 20 typists = 30 typists / (unknown) rate of those 30 typists
20/(48/20) = 30/n
20/(12/5) = 30/n
100/12 = 30/n
100n = 12 x 30
10n = 12 x 3
10n = 36
n = 3.6
We see that the rate of 30 typists is 3.6 letters per minute. So in 60 minutes, 30 typists can complete 3.6 x 60 = 216 letters.
Alternate Solution:
We know that 20 typists can type 48 letters in 20 minutes. Thus, we see that in 60 minutes, or 1 hour, those 20 typists can type 3 times as many letters, or 3 x 48 = 144 letters. We can now set up a proportion for n = the number of letters that can be typed in 1 hour by 30 typists:
20/144 = 30/n
20n = 144 x 30
2n = 144 x 3
n = 216
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews