Last visit was: 22 Apr 2026, 18:20 It is currently 22 Apr 2026, 18:20
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
novase101
User avatar
Joined: 18 Dec 2005
Last visit: 14 Apr 2006
Posts: 7
Own Kudos:
3
Posts: 7
Kudos: 3
When a certain tree was planted, it was 4ft tall, and the 18 Dec 2005, 19:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

100% (01:23) correct 0% (00:00) wrong based on 1 sessions

History

Date
Time
Result
Not Attempted Yet
When a certain tree was planted, it was 4ft tall, and the height of the tree increased by a constant amount each year for 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

(a) 3/10
(b) 2/5
(c) 1/2
(d) 2/3
(e) 6/5

How do I go about solving? Thanks in advance.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
TeHCM
User avatar
Joined: 06 Jun 2004
Last visit: 30 Sep 2013
Posts: 490
Own Kudos:
1,192
Location: CA
Posts: 490
Kudos: 1,192
When a certain tree was planted, it was 4ft tall, and the 18 Dec 2005, 20:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
novase101
When a certain tree was planted, it was 4ft tall, and the height of the tree increased by a constant amount each year for 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

(a) 3/10
(b) 2/5
(c) 1/2
(d) 2/3
(e) 6/5

How do I go about solving? Thanks in advance.
Show more


Answer is D

Planted ==> 4 ft
1st year ==> 4 + x
2nd year ==> 4 + x +x ==> 4 + 2x
..
...
4th year ==> 4 + 4x
6th year ==> 4 + 6x

(6/5)(4+4x) = (4+6x)
x = 2/3
User avatar
strange
User avatar
Joined: 16 Oct 2005
Last visit: 19 Dec 2005
Posts: 11
Own Kudos:
1
Posts: 11
Kudos: 1
When a certain tree was planted, it was 4ft tall, and the 18 Dec 2005, 20:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
[quote="TeHCM

Answer is D

Planted ==> 4 ft
1st year ==> 4 + x
2nd year ==> 4 + x +x ==> 4 + 2x
..
...
4th year ==> 4 + 4x
6th year ==> 4 + 6x

(6/5)(4+4x) = (4+6x)
x = 2/3[/quote]

how do you get the 6/5? I'm confused here..
User avatar
TeHCM
User avatar
Joined: 06 Jun 2004
Last visit: 30 Sep 2013
Posts: 490
Own Kudos:
1,192
Location: CA
Posts: 490
Kudos: 1,192
When a certain tree was planted, it was 4ft tall, and the 18 Dec 2005, 20:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
strange
TeHCM


Answer is D

Planted ==> 4 ft
1st year ==> 4 + x
2nd year ==> 4 + x +x ==> 4 + 2x
..
...
4th year ==> 4 + 4x
6th year ==> 4 + 6x

(6/5)(4+4x) = (4+6x)
x = 2/3

how do you get the 6/5? I'm confused here..
Show more


1/5 taller does not mean 1/5 feet taller

I'm twice as tall as you does not mean I'm 2 feet taller than you.

6/5 means 1/5 more than x
User avatar
krisrini
User avatar
Joined: 15 Apr 2005
Last visit: 23 Aug 2006
Posts: 155
Own Kudos:
34
Location: India, Chennai
Posts: 155
Kudos: 34
When a certain tree was planted, it was 4ft tall, and the 18 Dec 2005, 23:56
Kudos
Add Kudos
Bookmarks
Bookmark this Post
novase101
When a certain tree was planted, it was 4ft tall, and the height of the tree increased by a constant amount each year for 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

(a) 3/10
(b) 2/5
(c) 1/2
(d) 2/3
(e) 6/5

How do I go about solving? Thanks in advance.
Show more


The sequence is {4,4+x,4+2x,4+3x,4+4x,4+5x,4+6x}
Given that ht in 6th year = ht in 4th year + 1/5(ht in 4th year),
=>(4 + 6x) = (4+4x) + (4+4x)/5 (4th year height
Solving we get x = 2/3
User avatar
novase101
User avatar
Joined: 18 Dec 2005
Last visit: 14 Apr 2006
Posts: 7
Own Kudos:
3
Posts: 7
Kudos: 3
When a certain tree was planted, it was 4ft tall, and the 19 Dec 2005, 17:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
thanks for the explanation TeHCM, krisrini!
User avatar
ywilfred
User avatar
Joined: 07 Jul 2004
Last visit: 06 Mar 2012
Posts: 1,987
Own Kudos:
2,051
Location: Singapore
Posts: 1,987
Kudos: 2,051
When a certain tree was planted, it was 4ft tall, and the 19 Dec 2005, 17:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Start: 4ft
1sr yr: 4+x ft
2nd yr: 4+2x ft
3rd yr: 4+3x ft
4th yr: 4+4x ft
5th yr: 4+5x ft
6th yr = 4+6x

4+6x = 6/5(4+4x)
20+30x=24+24x
6x = 4
x = 4/6 = 2/3
User avatar
arichards728
User avatar
Joined: 22 Jan 2005
Last visit: 20 Jul 2007
Posts: 21
Own Kudos:
2
Location: New York, NY
Posts: 21
Kudos: 2
When a certain tree was planted, it was 4ft tall, and the 13 Mar 2006, 11:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Start = 4
4th Year = 4+4x
6th Year = 4+6x

end of sixth year, the tree was 1/5 taller than the end of fourth year:

4+6x - (4+4x) = 1/5(4+4x)
2x = 4/5 + 4/5x
6/5x = 4/5
x = 2/3
User avatar
ywilfred
User avatar
Joined: 07 Jul 2004
Last visit: 06 Mar 2012
Posts: 1,987
Own Kudos:
2,051
Location: Singapore
Posts: 1,987
Kudos: 2,051
When a certain tree was planted, it was 4ft tall, and the 13 Mar 2006, 20:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
First planted: 4 ft
First year = increase by x ft
Second year = increase by x ft
... and so on...
So by end of 6 years, the tree would be 4 + 6x ft tall

Equating:

4+6x = (6/5)(4+4x)
4+6x = 24/5 + 24x/5
6x/5 = 4/6
x = 4/6 = 2/3



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderator:
Bunuel
Math Expert
109754 posts