trees Gmat prep

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alltimeacheiver: Master | Next Rank: 500 Posts; Posts: 183; Joined: Wed Feb 09, 2011 3:08 amFollowed by: 5 members; Location: Delhi; Thanked: 1 times

by alltimeacheiver » Mon Sep 26, 2011 3:43 pm

When a tree was planted it was 4 feet. Its height increased by a constant amount each year for 6 years. After 6 years the tree was 1â�„5 taller than at the end of 4th year. By how many feet did the height of the tree increase each year?
a. 3â�„10
b. 2â�„5
c. 1â�„2
d. 2â�„3
e. 6â�„5

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Source: Beat The GMAT — Problem Solving | Mon Sep 26, 2011 3:43 pm

spallavi: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Mon Sep 26, 2011 3:31 pm

by spallavi » Mon Sep 26, 2011 4:11 pm

Hi,

I think the answer is d. 2/3

This is how I solved.
Lets say 'x' is the constant amount that the tree grows every year.
At the end of 4years, the tree's height is (4+4x).
At the end of 6 years, the tree's height is (4+6x).
At the end of 6years, the height is 1/5 more than what it was at 4years.
(4+6x) = (4+4x) + 1/5(4+4x)
Solving for x, x=2/3

Anyone disagree with the solution.
~Pallavi

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varungoel: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Mon Sep 12, 2011 7:24 pm

by varungoel » Mon Sep 26, 2011 6:25 pm

I got the same answer.

D

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Sep 26, 2011 6:26 pm

alltimeacheiver wrote:When a tree was planted it was 4 feet. Its height increased by a constant amount each year for 6 years. After 6 years the tree was 1â�„5 taller than at the end of 4th year. By how many feet did the height of the tree increase each year?
a. 3â�„10
b. 2â�„5
c. 1â�„2
d. 2â�„3
e. 6â�„5

Say each year the height is increased by x feet.
Height at the end of 4th year = (4 + 4x) feet
Height at the end of 6th year = (4 + 6x) feet

According to question,
Height after 6th year = Height after 4th year + (1/5)*(Height after 4th year)

Thus, (6x + 2) = (4x + 4) + (1/5)*(4x + 4)
=> (4x + 4)/5 = 2x
=> (4x + 4) = 10x
=> 6x = 4
=> x = 2/3

The correct answer is D.

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Gurome, Inc.
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