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

It is currently 20 Sep 2018, 23:33

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Two trees have a combined height of 60 feet, and the taller tree is x

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49275
Two trees have a combined height of 60 feet, and the taller tree is x  [#permalink]

Show Tags

New post 19 Aug 2018, 09:40
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:19) correct 14% (00:53) wrong based on 22 sessions

HideShow timer Statistics

Two trees have a combined height of 60 feet, and the taller tree is x times the height of the shorter tree. How tall is the shorter tree, in terms of x?


(A) \(\frac{60}{1+x}\)

(B) \(\frac{60}{x}\)

(C) \(\frac{30}{x}\)

(D) \(60 - 2x\)

(E) \(30 - 5x\)

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
G
Joined: 18 Jul 2018
Posts: 191
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member CAT Tests
Two trees have a combined height of 60 feet, and the taller tree is x  [#permalink]

Show Tags

New post Updated on: 20 Aug 2018, 03:42
Let the height of the taller tree be a
Let the height of the shorter tree be b
Now, a+b = 60.
and also given that a = xb.
Substituting this in a+b, gives xb+b = 60 = b(1+x) = 60.
The height of the shorter tree, b = \(\frac{60}{1+x}\)
A is the answer.

Originally posted by Afc0892 on 19 Aug 2018, 09:48.
Last edited by Afc0892 on 20 Aug 2018, 03:42, edited 1 time in total.
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 851
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: Two trees have a combined height of 60 feet, and the taller tree is x  [#permalink]

Show Tags

New post 19 Aug 2018, 12:40
Bunuel wrote:
Two trees have a combined height of 60 feet, and the taller tree is x times the height of the shorter tree. How tall is the shorter tree, in terms of x?


(A) \(\frac{60}{1+x}\)

(B) \(\frac{60}{x}\)

(C) \(\frac{30}{x}\)

(D) \(60 - 2x\)

(E) \(30 - 5x\)


Given
1) \(h_{t}+h_{s}=60\)
2) \(h_{t}=x*h_{s}\)

So, \(x*h_{s}+h_{s}=60\)
Or, \(h_{s}(x+1)=60\)
Or, \(h_{s}=\frac{60}{1+x}\)

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Manager
Manager
User avatar
S
Joined: 20 Jul 2018
Posts: 91
GPA: 2.87
Re: Two trees have a combined height of 60 feet, and the taller tree is x  [#permalink]

Show Tags

New post 20 Aug 2018, 09:43
let height of small tree is A and that of taller tree is B
so \(A+B=60\)
\(B=xA\)
so
\(A+xA=60\)
\(A(1+x)=60\)
\(A=\frac{60}{(1+x)}\)
_________________

Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas

Re: Two trees have a combined height of 60 feet, and the taller tree is x &nbs [#permalink] 20 Aug 2018, 09:43
Display posts from previous: Sort by

Two trees have a combined height of 60 feet, and the taller tree is x

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.