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

It is currently 20 Nov 2018, 15:52

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 in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Free lesson on number properties

     November 23, 2018

     November 23, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

A man covered a certain distance at some spe

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

Hide Tags

Intern
Intern
User avatar
B
Joined: 03 Nov 2018
Posts: 2
Location: India
Schools: LBS '21
GMAT 1: 580 Q44 V28
GMAT 2: 580 Q44 V28
GPA: 3.44
A man covered a certain distance at some spe  [#permalink]

Show Tags

New post 03 Nov 2018, 22:14
1
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (01:48) correct 29% (03:30) wrong based on 35 sessions

HideShow timer Statistics

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
A.35
B.36
C.37
D.40
E. 25
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2702
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
A man covered a certain distance at some spe  [#permalink]

Show Tags

New post 03 Nov 2018, 23:35
3
dharam44 wrote:
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
A.35
B.36
C.37
D.40
E. 25


Let, Original speed = s
Distance = d
Time = t mins

Here we get three equations as per the given information

d = s*t

d = (s+3)*(t-40)

d = (s-2)*(t+40)


Solving equation 1 and 2

s*t = (s+3)*(t-40)
i.e. s*t = s*t +3t-40s-120

i.e. 3t-40s = 120

Solving equation 1 and 3

s*t = (s-2)*(t+40)
i.e. s*t = s*t -2t+40s-80

i.e. -2t+40s = 80

Solving the two blue and bold equations

t = 200 minutes
and s = 12 m/h

i.e. d = 12*(200/60) = 40 miles

Answer: Option D
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Manager
Manager
avatar
G
Joined: 14 Jun 2018
Posts: 188
CAT Tests
A man covered a certain distance at some spe  [#permalink]

Show Tags

New post 04 Nov 2018, 00:34
\(\frac{d}{s} = t\) ; \(d = s*t\)

Given ,
\(d = (s-2)(t+\frac{2}{3})\) ------------------- 1

and ,

\(d = (s+3)(t-\frac{2}{3})\) -------------------- 2

Adding 1 & 2 ,

\(2d = (s-2)(t+\frac{2}{3})+(s+3)(t-\frac{2}{3})\)

\(2d = st + \frac{2}{3}s - 2t - \frac{4}{3} + st - \frac{2}{3}s +3t - 2\)

t = 3 hr 20 mins or 200 mins or \(\frac{10}{3}\)

If time is increased by 40 mins or \(\frac{40}{200}*100 = 20\)% , speed should be reduced by 16.67% or 1/6

\(\frac{5}{6}s = s - 2\)
s = 12 km/hr

\(d = \frac{10}{3} * 10\) = 40km
Manager
Manager
User avatar
P
Joined: 18 Jun 2018
Posts: 236
Premium Member CAT Tests
A man covered a certain distance at some spe  [#permalink]

Show Tags

New post 16 Nov 2018, 05:25
dharam44 wrote:
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
A.35
B.36
C.37
D.40
E. 25


OA:D

Let the initial speed of man be \(x\) Kmph
Let the initial time taken by man be \(t\) hours

\(xt=(x+3)(t-\frac{40}{60})\)

\(-\frac{2}{3}x+3t=2\) .....(1)

\(xt=(x-2)(t+\frac{40}{60})\)

\(\frac{2}{3}x-2t=\frac{4}{3}\) .....(2)

Adding \((1)\) and \((2)\), we get

\(t=2+\frac{4}{3}=\frac{10}{3}\) hours

Putting \(t =\frac{10}{3}\)hours into \((1)\), we get

\(-\frac{2}{3}x+3*\frac{10}{3}=2\)

\(x=\frac{2-3*\frac{10}{3}}{-\frac{2}{3}}=\frac{-8}{-\frac{2}{3}}=12\) Kmph

Distance travelled \(= xt = 12*\frac{10}{3}= 40\) Kms
GMAT Club Bot
A man covered a certain distance at some spe &nbs [#permalink] 16 Nov 2018, 05:25
Display posts from previous: Sort by

A man covered a certain distance at some spe

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


cron
Copyright

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®.