GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Jun 2019, 13:59

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Adam and John simultaneously begin to write out a booklet containing

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 15 Jan 2018
Posts: 334
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Adam and John simultaneously begin to write out a booklet containing  [#permalink]

### Show Tags

02 May 2019, 17:12
1
6
00:00

Difficulty:

55% (hard)

Question Stats:

59% (02:28) correct 41% (02:42) wrong based on 81 sessions

### HideShow timer Statistics

Adam and John simultaneously begin to write out a booklet containing 535 lines. Adam starts with the first line, writing at the rate of 100 lines an hour, and John starts with the last line and moves backward, proceeding at the rate of 50 lines an hour. At what line will they meet?

A. 356
B. 277
C. 357
D. 267
E. 435
SVP
Joined: 24 Jul 2011
Posts: 1673
GMAT 1: 780 Q51 V48
GRE 1: Q800 V740
Adam and John simultaneously begin to write out a booklet containing  [#permalink]

### Show Tags

02 May 2019, 20:30
1
Top Contributor
Quickest way to solve this question with minimal calculations:

Adam writes at twice the rate of John. Therefore in the time that John covers x, Adam will cover 2x.
=> They will meet at (2/3) of the length of the book.
=> They will meet at page 535*2/3 = page 357

Option (C).

PS - For anyone confused between Option (A) and (C), note that 535*(2/3) = 356.66, which is more than 356, or the 357th page.
_________________

Awesome Work | Honest Advise | Outstanding Results

Reach Out, Lets chat!
Email: info at gyanone dot com | +91 98998 31738 | Skype: gyanone.services
Director
Joined: 27 May 2012
Posts: 800
Adam and John simultaneously begin to write out a booklet containing  [#permalink]

### Show Tags

06 May 2019, 05:08
GyanOne wrote:
Quickest way to solve this question with minimal calculations:

Adam writes at twice the rate of John. Therefore in the time that John covers x, Adam will cover 2x.
=> They will meet at (2/3) of the length of the book.
=> They will meet at page 535*2/3 = page 357

Option (C).

PS - For anyone confused between Option (A) and (C), note that 535*(2/3) = 356.66, which is more than 356, or the 357th page.

Awesome solution! by GyanOne

another soln: Let them meet at time T then 100T+50T=535
T=107/30 , so in this much time adam would be at line, 100 *$$\frac{107}{30}$$=356.66 or 357 line .
_________________
- Stne
Manager
Joined: 07 Aug 2017
Posts: 74
Location: India
GPA: 4
WE: Information Technology (Consulting)
Adam and John simultaneously begin to write out a booklet containing  [#permalink]

### Show Tags

25 May 2019, 07:33
This problem can be seen as a rate/speed problem where two objects will collide each other.

Speed of Adam = 100 lines/hr; Speed of John = 50 lines/hr
Relative speed = 150 lines/hr

Distance = 535 lines

S= D/T
T= 107/30 hr is the time at which Adam and John will meet.

Distance covered by Adam = S*T = 100*(107/30) = 356.67 ~ 357 lines

Ans - C

--------------------------------------
Intern
Joined: 03 Jun 2019
Posts: 4
Re: Adam and John simultaneously begin to write out a booklet containing  [#permalink]

### Show Tags

12 Jun 2019, 11:00
GyanOne wrote:
Quickest way to solve this question with minimal calculations:

Adam writes at twice the rate of John. Therefore in the time that John covers x, Adam will cover 2x.
=> They will meet at (2/3) of the length of the book.
=> They will meet at page 535*2/3 = page 357

Option (C).

PS - For anyone confused between Option (A) and (C), note that 535*(2/3) = 356.66, which is more than 356, or the 357th page.

How did we know that they meet at 2/3 of the length of the book??
Intern
Joined: 11 Feb 2018
Posts: 20
Re: Adam and John simultaneously begin to write out a booklet containing  [#permalink]

### Show Tags

14 Jun 2019, 17:00
Sreeragc wrote:
GyanOne wrote:
Quickest way to solve this question with minimal calculations:

Adam writes at twice the rate of John. Therefore in the time that John covers x, Adam will cover 2x.
=> They will meet at (2/3) of the length of the book.
=> They will meet at page 535*2/3 = page 357

Option (C).

PS - For anyone confused between Option (A) and (C), note that 535*(2/3) = 356.66, which is more than 356, or the 357th page.

How did we know that they meet at 2/3 of the length of the book??

Sreeragc

Because Adam's speed is twice John's speed, so:
after 1 hour : Adam writes 100 lines and John writes 50 lines; total lines 150 of which Adam wrote 2/3rds and John wrote 1/3rds
after 2 hours: Adam would have written 200 lines and John 100 lines; total lines 300 of which Adam wrote 2/3rds and John wrote 1/3rds

The ratio will always be 1:2 and Adam would have always written 2/3rds of the total lines written. Since John is working from the bottom and Adam from the top, they will meet when they have collectively written all of the 535 lines. Counting from the beginning that would be 2/3 * 535 ~= 357 lines. Hope this clears it up.
Re: Adam and John simultaneously begin to write out a booklet containing   [#permalink] 14 Jun 2019, 17:00
Display posts from previous: Sort by