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

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

It takes Jack 2 more hours than Tom to type 20 pages. If working together, Jack and Tom can type 25 pages in 3 hours,

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members
by VJesus12 » Thu Jun 04, 2020 7:14 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

It takes Jack 2 more hours than Tom to type 20 pages. If working together, Jack and Tom can type 25 pages in 3 hours, how long will it take Jack to type 40 pages?

A. 5
B. 6
C. 8
D. 10
E. 12

[spoiler]OA=E[/spoiler]

Source: GMAT Club Tests
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

Re: It takes Jack 2 more hours than Tom to type 20 pages. If working together, Jack and Tom can type 25 pages in 3 hours

by deloitte247 » Fri Jun 05, 2020 6:40 am
Let hours taken by Tom to type 20 pages = x hours
It will take Jack => x + 2 hours

Rate of work done by Tom in 1 hour = 20/x pages per hour
Rate of work done by Jack in 1 hour = 20/x-2 pages per hour

Working together they can type 25 pages in 3 hours

$$Therefore,\ \frac{20}{x}+\frac{20}{x+2}=\frac{25}{3\ }=>\ in\ 1\ hour$$ $$\frac{20\left(x+2\right)+20\left(x\right)}{x\left(x+2\right)}=\frac{25}{3}$$
$$\frac{20x+40+20x}{x\left(x+2\right)}=\frac{25}{3}$$
$$\frac{40x+40}{x\left(x+2\right)}=\frac{25}{3}$$
$$3\left(40x\ +40\right)=25\left(x^2+2x\right)$$
$$120x+120=25x^2+50x$$
$$0=25x^2+50x-120x-120$$
$$0=25x^2-70x-120$$
$$25x^2-70x-120=0$$
$$5\left(5x^2-14x-24\right)=0$$
$$5\left(5x^2-20x+6x-24\right)=0$$
$$5\left[5x\left(x-4\right)+6\left(x-4\right)\right]=0$$
$$5\left[\left(5x+6\right)\left(x-4\right)\right]=0$$
$$Therefore,\ 5\left(5x+6\right)=0\ or\ 5\left(x-4\right)=0$$
$$=>25x+30=0\ or\ 5x-20=0$$
$$=>25x=-30\ or\ 5x=20$$
$$x=\frac{-30}{25}\ or\ x=\frac{20}{5}$$
$$x=\frac{-6}{5}\ or\ x=4$$
$$Check\ for\ x\ \ in\ \frac{20}{x}+\frac{20}{x+2}=\frac{25}{3}$$
$$If\ x\ =\ 4\ =>$$
$$\frac{20}{4}+\frac{20}{4+2}=\frac{20}{4}+\frac{20}{6}=\frac{60+40}{12}$$
$$\frac{100}{12}=\frac{25}{3}$$
$$If\ x\ =\ \frac{-6}{5}=>$$
$$\left(\frac{20}{\frac{-6}{5}}\right)+\left(\frac{20}{\frac{-6}{5}+\frac{2}{1}}\right)$$
$$=\left(20\cdot\frac{-5}{6}\right)+\left(\frac{20}{\frac{4}{5}}\right)$$
$$=\left(20\cdot\frac{-5}{6}\right)+\left(20\cdot\frac{5}{4}\right)$$
$$=\frac{-100}{6}+\frac{100}{4}$$
$$=\frac{-200+300}{12}=\frac{100}{12}=\frac{25}{3}$$
If x = -6/5 then time taken by Jack to type 20 pages = x + 2
$$i.e\ \frac{-6}{5}+\frac{2}{1}=\frac{-6+10}{5}=\frac{4}{5}$$
Time taken to type 40 pages
$$=\frac{40\cdot\frac{4}{5}}{20}=\frac{32}{20}=\frac{16}{10}=\frac{8}{5}$$
$$=\frac{8}{5}\ hours$$
This answer is wrong, it's not in the option so x cannot be -6/5

If x = 4 then the time taken by Jack to type 20 pages = x + 2 = 4 + 2 = 6 hours
If Jack used 6 hours to type 20 pages, he will use y hours to type 40 pages
$$=>\ y=\frac{6\cdot40}{20}=6\cdot2\ =\ 12\ hours$$

Answer = E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8176
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

Re: It takes Jack 2 more hours than Tom to type 20 pages. If working together, Jack and Tom can type 25 pages in 3 hours

by Scott@TargetTestPrep » Tue Jun 09, 2020 4:03 am
VJesus12 wrote: ↑
Thu Jun 04, 2020 7:14 am
 It takes Jack 2 more hours than Tom to type 20 pages. If working together, Jack and Tom can type 25 pages in 3 hours, how long will it take Jack to type 40 pages?

A. 5
B. 6
C. 8
D. 10
E. 12

[spoiler]OA=E[/spoiler]

Solution:

We can let Tom’s rate = 20/x and Jack’s rate = 20/(x+2), and their combined rate is 25/3; thus:

20/x + 20/(x+2) = 25/3

Multiplying by 3x(x+2), we have:

20(3)(x + 2) + 20(3x) = 25(x)(x + 2)

60x + 120 + 60x = 25x^2 + 50x

25^x - 70x - 120 = 0

5x^2 - 14x - 24 = 0

(5x + 6)(x - 4) = 0

x = -5/6 or x = 4

Since x can’t be negative, we see that x must be 4, so Jack's rate is 20/6 = 10/3.

So it takes him 40/(10/3) = 120/10 = 12 hours to type 40 pages.

Alternate Solution:

Let’s pick a common multiple of 20, 25 and 40, such as 200, and calculate the number of hours to type that number of pages for each scenario.

Since Jack takes 2 more hours than Tom to type 20 pages, it will take Jack 20 more hours than Tom to type 200 pages.

Since Jack and Tom working together can type 25 pages in 3 hours, they can type 200 pages in 12 hours.

Let’s denote the number of hours for Tom to type 200 pages by t. Then, in one hour, Tom can complete 1/t of the job. Since Jack takes 20 more hours than Tom to do the same job, it will take him t + 20 hours to type 200 pages and he can complete 1/(t + 20) of the job in one hour. Working together, they can complete the same job (200 pages) in 24 hours; thus in one hour, they complete 1/24 of the job. We can create the following equation:

1/t + 1/(t + 20) = 1/24

Let’s multiply each side by 24t(t + 20):

24(t + 20) + 24t = t(t + 20)

24t + 480 + 24t = t^2 + 20t

t^2 - 28t - 480 = 0

(t - 40)(t + 12) = 0

t = 40 or t = -12

Since t cannot be negative, t must equal 40. Since it takes Tom 40 hours to type 200 pages, it will take him 1/5 the number of hours to type 1/5 the number of pages (40 pages); thus Tom will type 40 pages in 40 x 1/5 = 12 hours.

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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