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

 It is currently 23 Sep 2018, 13:07

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

A Man walked from his house to office at 5kmph and got 20 mi

Author Message
TAGS:

Hide Tags

Manager
Joined: 30 May 2013
Posts: 164
Location: India
Concentration: Entrepreneurship, General Management
GPA: 3.82
A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

24 Aug 2013, 22:06
1
1
3
00:00

Difficulty:

55% (hard)

Question Stats:

72% (02:41) correct 28% (02:31) wrong based on 210 sessions

HideShow timer Statistics

A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?

A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km
Senior Manager
Joined: 24 Aug 2009
Posts: 476
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

24 Aug 2013, 22:22
3
1
rrsnathan wrote:
A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?
A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km

Let the original distance and time be D & t
Case 1 - If man travels at 5kmph, he reaches late 20 min or 1/3 hr
We can write the same as
$$\frac{D}{5}$$ = t + $$\frac{1}{3}$$ -----(1)

Case 2 - If man travels at 7.5kmph, he reaches early 12 min or 1/5 hr
We can write the same as
$$\frac{D}{7.5}$$ = t - $$\frac{1}{5}$$ -----(2)

Solving both we get D = 8
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Math Expert
Joined: 02 Sep 2009
Posts: 49320
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

25 Aug 2013, 06:21
1
rrsnathan wrote:
A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?

A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km

Discussed here: time-speed-and-distance-simplified-150163.html
_________________
Director
Joined: 17 Dec 2012
Posts: 636
Location: India
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

25 Aug 2013, 19:23
2
rrsnathan wrote:
A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?

A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km

1 Distance traveled is the same in both the cases
2 5 * (t + 1/3) = 7.5 * (t- 1/5)
3 t=19/15 hrs
4 Substituting the value of t in the LHS of (2), Distance = 5 *( 19/15 +1/3) = 8 km

Substituting the value of t in RHS of (2) will also give the same answer
_________________

Srinivasan Vaidyaraman
Sravna Holistic Solutions
http://www.sravnatestprep.com

Holistic and Systematic Approach

SVP
Joined: 06 Sep 2013
Posts: 1803
Concentration: Finance
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

11 Jan 2014, 08:17
rrsnathan wrote:
A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?

A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km

I'm not sure if this method is valid but please comment

d/5 = t+20
d/7.5 = t-12

So 5t + 100 = 7.5t - 90

t = (190)(2)/5 = 78

So distance (78)(5) + 100 /60

C

I divided by 60 to go back to hours cause I was working with minutes before

Hope it helps
Cheers!
J
Manager
Joined: 07 Apr 2015
Posts: 175
A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

27 Aug 2015, 02:32
jlgdr wrote:

I'm not sure if this method is valid but please comment

d/5 = t+20
d/7.5 = t-12

So 5t + 100 = 7.5t - 90

t = (190)(2)/5 = 78

So distance (78)(5) + 100 /60

C

I divided by 60 to go back to hours cause I was working with minutes before

Hope it helps
Cheers!
J

I did it the same way, however t = (190*2)/5 should read = 76 not 78.

(76*5 + 100) / 60 = 8
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4033
Location: India
GPA: 3.5
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

24 Nov 2016, 10:50
1
rrsnathan wrote:
A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?

A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km

Distance is constant

$$\frac{5* ( t + 20 )}{60} = \frac{( t - 12 )*30}{4*60}$$

$$20( t + 20 ) = ( t - 12 )30$$

$$20t + 400 = 30t - 360$$

$$760 = 10t$$

So, $$t = 76$$

Thus distance = $$\frac{5( 76 + 20 )}{60}$$

Hence distace = 8 km

Answer will be (C) 8 Km

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

VP
Joined: 07 Dec 2014
Posts: 1088
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

24 Nov 2016, 13:48
rrsnathan wrote:
A Man walked from his house to office at 5kmph and got 20 minutes late. if he had travelled at 7.5kmph, he would have reached 12 minutes early. The distance from his house to office is?

A) 4Km
B) 16Km
C) 8Km
D) 9Km
E) 12Km

d/5-8/15=d/7.5
d=8 km
Non-Human User
Joined: 09 Sep 2013
Posts: 8159
Re: A Man walked from his house to office at 5kmph and got 20 mi  [#permalink]

Show Tags

23 Jan 2018, 08:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A Man walked from his house to office at 5kmph and got 20 mi &nbs [#permalink] 23 Jan 2018, 08:02
Display posts from previous: Sort by

A Man walked from his house to office at 5kmph and got 20 mi

Events & Promotions

 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®.