GMAT Changed on April 16th - Read about the latest changes here

It is currently 22 Apr 2018, 22:46

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The area of a square field is 24200 sq m. How long will a lady take to

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44609
The area of a square field is 24200 sq m. How long will a lady take to [#permalink]

Show Tags

New post 14 Mar 2016, 08:55
Expert's post
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

72% (02:36) correct 28% (02:17) wrong based on 116 sessions

HideShow timer Statistics

The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

A. 1 minute
B. 2 minutes
C. 2 minutes 32 seconds
D. 2 minutes 40 seconds
E. 3 minutes
[Reveal] Spoiler: OA

_________________

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

1 KUDOS received
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 1962
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: The area of a square field is 24200 sq m. How long will a lady take to [#permalink]

Show Tags

New post 14 Mar 2016, 11:44
1
This post received
KUDOS
1
This post was
BOOKMARKED
Area of a square field = 24200 sq m
Let the side of square = a
a^2 = 24200
=> a = (24200)^(1/2)
Diagonal = (2)^(1/2) * a
= 1.414 * 155
= 220

Speed of lady = 6.6 km / hour
= 6600 m / hour
= 110 m / min
Time taken by lady to cross the field diagonally = 220/110 = 2 min

Answer B
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Intern
Intern
avatar
Joined: 11 Feb 2016
Posts: 40
GMAT 1: 760 Q49 V46
GPA: 3.5
Re: The area of a square field is 24200 sq m. How long will a lady take to [#permalink]

Show Tags

New post 15 Mar 2016, 10:11
What level question do you think this is?
SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1551
Premium Member CAT Tests
The area of a square field is 24200 sq m. How long will a lady take to [#permalink]

Show Tags

New post 13 Mar 2018, 11:31
Bunuel wrote:
The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

A. 1 minute
B. 2 minutes
C. 2 minutes 32 seconds
D. 2 minutes 40 seconds
E. 3 minutes

These numbers are a lot easier than they appear to be. Fractions help here.

1) Find the length of the square field's sides and diagonal, D, with factoring.
Look for s=root of a perfect square and, since \(D=s\sqrt{2}\), look for \(\sqrt{2}\)

\(s^2=A\)
\(s=\sqrt{A}=\sqrt{24,200(m^2)}\)
\(s=\sqrt{(2*12,100)m^2}=\sqrt{(2*110*110)m^2}\)
\(s=110\sqrt{2}m\)


Diagonal length =\((s\sqrt{2})m\)
\(D=(110\sqrt{2}*\sqrt{2})m=(110*2)m= 220m\)


2) Convert diagonal length from \(m\) to \(km\)
\((1,000m=1km)=>(1m=\frac{1}{1000}km)\)
\(D=(220m*\frac{1km}{1000m})=\frac{220}{1000}km=\frac{11}{50}km\)


3) Convert rate to a fraction
\(6.6kmh=6\frac{3}{5}=\frac{33}{5}kmh\)

4) Find time. \(R*T=D\), and \(T=\frac{D}{R}\)
\(T=\frac{\frac{11}{50}km}{\frac{33}{5}kmh}=(\frac{11}{50}km*\frac{5}{33}kmh)=\frac{1}{30}hour\)


Any fraction of an hour * 60 = # of minutes

\(T=
\frac{1}{30}hr*60\frac{min}{hr}=2\)
minutes

Answer B
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2447
Location: United States (CA)
Re: The area of a square field is 24200 sq m. How long will a lady take to [#permalink]

Show Tags

New post 14 Mar 2018, 16:05
Bunuel wrote:
The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr?

A. 1 minute
B. 2 minutes
C. 2 minutes 32 seconds
D. 2 minutes 40 seconds
E. 3 minutes


Recall that the diagonal, d, of a square, in relation to its area, A, is given by the formula: A = d^2/2. Thus we have:

24,200 = d^2/2

48,400 = d^2

d = √48,400 = 220 m

Now we can set up a proportion to find the time, t, it takes to walk along the diagonal of the square (recall that 6.6 km = 6,600 m and 1 hr = 60 min):

220/t = 6,600/60

220/t = 110

t = 220/110 = 2 min

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: The area of a square field is 24200 sq m. How long will a lady take to   [#permalink] 14 Mar 2018, 16:05
Display posts from previous: Sort by

The area of a square field is 24200 sq m. How long will a lady take to

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.