Last visit was: 15 Dec 2024, 10:31 It is currently 15 Dec 2024, 10:31
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
User avatar
blowice27
Joined: 16 Apr 2019
Last visit: 29 Jun 2021
Posts: 200
Own Kudos:
311
 []
Given Kudos: 48
Location: India
Concentration: Marketing, Sustainability
GPA: 4
WE:Information Technology (Computer Software)
Products:
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 15 Dec 2024
Posts: 1,859
Own Kudos:
7,098
 []
Given Kudos: 707
Location: India
Posts: 1,859
Kudos: 7,098
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
chetan2u
User avatar
RC & DI Moderator
Joined: 02 Aug 2009
Last visit: 15 Dec 2024
Posts: 11,433
Own Kudos:
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert reply
Posts: 11,433
Kudos: 38,066
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
jfranciscocuencag
Joined: 12 Sep 2017
Last visit: 17 Aug 2024
Posts: 238
Own Kudos:
Given Kudos: 132
Posts: 238
Kudos: 130
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nick1816
2x+2y=300
x+y=150

3(x+y)=150*3=450Km


blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km

Hello nick1816

Could you please explain to me why 2y? I dont understand at all.

Kind regards!
avatar
hualsalam
Joined: 18 Oct 2019
Last visit: 02 Nov 2019
Posts: 5
Own Kudos:
Given Kudos: 10
Posts: 5
Kudos: 5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nick1816

did you multiply by 3 because of the three points D-M-A?
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 15 Dec 2024
Posts: 1,859
Own Kudos:
Given Kudos: 707
Location: India
Posts: 1,859
Kudos: 7,098
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jfranciscocuencag
nick1816
2x+2y=300
x+y=150

3(x+y)=150*3=450Km


blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km

Hello nick1816

Could you please explain to me why 2y? I dont understand at all.

Kind regards!

Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here".

At point D, Q told P that distance from D to A is half of that from M to D.
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 15 Dec 2024
Posts: 1,859
Own Kudos:
Given Kudos: 707
Location: India
Posts: 1,859
Kudos: 7,098
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Please see the diagram i attached in earlier post. Total distance= x+2x+2y+y=3(x+y)


hualsalam
nick1816

did you multiply by 3 because of the three points D-M-A?
User avatar
Kinshook
User avatar
GMAT Club Legend
Joined: 03 Jun 2019
Last visit: 15 Dec 2024
Posts: 5,425
Own Kudos:
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,425
Kudos: 4,601
Kudos
Add Kudos
Bookmarks
Bookmark this Post
blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km

Given:
1. P and Q travels from D to A and break journey at M in between.
2. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M".
3. Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here".

Asked: The distance between D and A is:

D-----2-----------M-----------3--------A

Distance between 2 & 3 = 300 km
D2 = 1/2 * 2M = x
DM = 3x; 2M = 2x
M3 = 300 - 2x
M3 = 2 * 3A
3A = 150 - x

DA = D2 + 2M + M3 + 3A = x + 2x + 300 - 2x + 150 -x = 450 km

IMO C
Moderator:
Math Expert
97884 posts