BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

WOrk and typists

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1578
Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members
Thanked: 82 times
GMAT Score:720
by maihuna » Thu May 07, 2009 7:48 am
P Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour R can type as many pages more than Q as Q can type more than P. During a period of 5 hours, R can type as many pages as P can during 7 hours, How many pages each of them type per hour:

14, 17, 20
15, 17, 19
15, 18, 21
16, 18, 20
16, 19, 22
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 487
Joined: Fri Mar 27, 2009 5:49 am
Thanked: 36 times

Re: WOrk and typists

by dtweah » Thu May 07, 2009 8:23 am
maihuna wrote:P Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour R can type as many pages more than Q as Q can type more than P. During a period of 5 hours, R can type as many pages as P can during 7 hours, How many pages each of them type per hour:

14, 17, 20
15, 17, 19
15, 18, 21
16, 18, 20
16, 19, 22
Choose C.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 487
Joined: Fri Mar 27, 2009 5:49 am
Thanked: 36 times

Re: WOrk and typists

by dtweah » Thu May 07, 2009 8:46 am
dtweah wrote:
maihuna wrote:P Q and R are three typists who working simultaneously can type 216 pages in 4 hours. In one hour R can type as many pages more than Q as Q can type more than P. During a period of 5 hours, R can type as many pages as P can during 7 hours, How many pages each of them type per hour:

14, 17, 20
15, 17, 19
15, 18, 21
16, 18, 20
16, 19, 22
Choose C.
I actually love this problem. On the phase of it it looks intimidating but when you dig into it, it is not. Stick with principles:

Let R, P and Q be the job each do in 1 our respectively.
If they do 216 in 4 hours, find how many they do in 1 hour.

216/4=54.

So you know R +P+Q=54 --------(1)

In one hour R can type as many pages as Q as Q can type many pages more than P. This is Mathematese for

R-Q=Q-P
R= 2Q-P -----(2)

Comes another confusing joint: During a period of 5 hours, R can type as many pages as P can during 7 hours.

But we know P is number P can do in 1 hour. So 7P is what he will do in 7 hours.
Since R is the number R can do in 1, in 5 hour R will do 5R.

Then 5R=7P -----(3)

2Q-P+P+Q=54
Q=18

R=36-P

But P = 5R/7

So R= 21

54-39=15

Choose C.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1578
Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members
Thanked: 82 times
GMAT Score:720

by maihuna » Thu May 07, 2009 9:00 am
grt u rock sir
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1035
Joined: Wed Aug 27, 2008 10:56 pmFollowed by: 1 member
Thanked: 104 times

by scoobydooby » Thu May 07, 2009 9:17 am
During a period of 5 hours, R can type as many pages as P can during 7 hours

=>5R=7P
=>R/P=5/7

14, 17, 20 doesnt give 5/7
15, 17, 19 doesnt give 5/7
15, 18, 21 ..15/21=5/7 bingo
16, 18, 20 doesnt give 5/7
16, 19, 22 doesnt give 5/7

hence, C
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 487
Joined: Fri Mar 27, 2009 5:49 am
Thanked: 36 times

by dtweah » Thu May 07, 2009 9:43 am
scoobydooby wrote:During a period of 5 hours, R can type as many pages as P can during 7 hours

=>5R=7P
=>R/P=5/7

14, 17, 20 doesnt give 5/7
15, 17, 19 doesnt give 5/7
15, 18, 21 ..15/21=5/7 bingo
16, 18, 20 doesnt give 5/7
16, 19, 22 doesnt give 5/7

hence, C
Cool. To switch from fully solving a problem to using one of the equations you discover to resolve the answer choices takes more than sheer guts. This example points to the fact that in thinking about solutions, the answer choices must always be on your mind. Good trick Scooby.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 75
Joined: Thu Oct 23, 2008 4:25 am
Thanked: 6 times
GMAT Score:620

by madhukumar_v » Thu May 07, 2009 11:22 am
good explanations guys!!

M
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1