Last visit was: 23 Apr 2024, 18:35 It is currently 23 Apr 2024, 18:35

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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618603 [5]
Given Kudos: 81563
Send PM
Manager
Manager
Joined: 28 Jun 2018
Posts: 147
Own Kudos [?]: 211 [0]
Given Kudos: 32
Location: India
Concentration: Finance, Marketing
Schools: CUHK '21 (II)
GMAT 1: 650 Q49 V30
GPA: 4
Send PM
Manager
Manager
Joined: 05 Feb 2016
Posts: 129
Own Kudos [?]: 108 [0]
Given Kudos: 69
Location: India
Concentration: General Management, Marketing
WE:Information Technology (Computer Software)
Send PM
Manager
Manager
Joined: 28 Jun 2018
Posts: 147
Own Kudos [?]: 211 [0]
Given Kudos: 32
Location: India
Concentration: Finance, Marketing
Schools: CUHK '21 (II)
GMAT 1: 650 Q49 V30
GPA: 4
Send PM
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
in question you are not given the position of the houses , how can you decide what distance b has to travel to reach c, that's why 2 cases to show the difference
Retired Moderator
Joined: 30 Jan 2015
Posts: 636
Own Kudos [?]: 2427 [1]
Given Kudos: 1131
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Send PM
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
1
Kudos
Bunuel wrote:
Three friends, A, B and C have houses along a straight road, in that order. If all three want to meet up at one of their houses, what is the minimum combined distance they need to travel?


+1 for B.

Given,
Three friends, A, B and C have houses along a straight road, in that order.
Minimum combined distance they need to travel = ?

(1) The distance between A’s house and B’s house is 2 miles.
No information about C, Insufficient

(2) The distance between A’s house and C’s house is 8 miles
Shortest way for three of them to meet would be at B's house
Now,
Total distance = AB+BC = AC i.e, 8 miles
Sufficient

Hence, B.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Own Kudos [?]: 16831 [2]
Given Kudos: 165
Send PM
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
2
Kudos
Expert Reply

Solution



Given:

    • A, B and C have houses along a straight road, in that order.
    • All three decided to meet up at one of their houses.

To find:

    • Minimum combined distance all friends need to travel.

Let us assume the:
    • Distance between the house of A and B is x
    • And, distance between the house of B and C is y.

Then, there can be three cases:

    1. All friends decide meet at the house of A.
      a. Then, distance travelled by B= x
      b. And, distance travelled by C= Distance from C to B + Distance from B to A= y+x
        i. Hence, total distance covered= 2x+y

    2. All friends decide meet at the house of B.
      a. Then, distance travelled by A= x
      b. And, distance travelled by C= Distance from C to B = y
        i. Hence, total distance covered= x+y

    3. All friends decide meet at the house of C.
      a. Then, distance travelled by A= x+y
      b. And, distance travelled by B= y
        i. Hence, total distance covered= x+2y

From all the three cases, it is very apparent that minimum distance is in case 2.
Hence, we only need distance from house of A to C to find minimum distance covered by all the friends.


Statement-1: “The distance between A’s house and B’s house is 2 miles.“

x= 2, but we do not have the value of y.
Hence, Statement 1 alone is not sufficient to answer the question.

Statement-2: “The distance between A’s house and C’s house is 8 miles “

Distance from A’s house to C’s house= x+ y= 8
Hence, minimum distance covered is 8 miles.
Statement 2 alone is sufficient to answer the question.

Hence, the correct answer is option B.

Answer: B
Retired Moderator
Joined: 11 Aug 2016
Posts: 335
Own Kudos [?]: 351 [0]
Given Kudos: 97
Send PM
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
Bunuel wrote:
Three friends, A, B and C have houses along a straight road, in that order. If all three want to meet up at one of their houses, what is the minimum combined distance they need to travel?

(1) The distance between A’s house and B’s house is 2 miles.
(2) The distance between A’s house and C’s house is 8 miles


kshitizbansal92 wrote:
in question you are not given the position of the houses , how can you decide what distance b has to travel to reach c, that's why 2 cases to show the difference

kshitizbansal92 you have been given the order of houses. Please check again.
Manager
Manager
Joined: 28 Jun 2018
Posts: 147
Own Kudos [?]: 211 [0]
Given Kudos: 32
Location: India
Concentration: Finance, Marketing
Schools: CUHK '21 (II)
GMAT 1: 650 Q49 V30
GPA: 4
Send PM
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
its my bad, I should have read it more carefully.
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32630
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
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.
GMAT Club Bot
Re: Three friends, A, B and C have houses along a straight road, in that [#permalink]
Moderator:
Math Expert
92883 posts

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