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# When a certain tree was first planted, it was 4 feet tall,

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Manager
Joined: 24 Apr 2008
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When a certain tree was first planted, it was 4 feet tall, [#permalink]  26 Apr 2008, 07:33
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When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 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
Manager
Joined: 24 Apr 2008
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Re: PS - height increase [#permalink]  26 Apr 2008, 08:27

Tree is initially 4 feet tall.

At the end of 1st year --> 14/3 feet tall
At the end of 2nd year --> 16/3 feet tall
At the end of 3rd year --> 18/3 feet tall
At the end of 4th year --> 20/3 feet tall
At the end of 5th year --> 22/3 feet tall
At the end of 6th year --> 24/3 feet tall

Difference in height between 6th year and 4th year = 24/3-20/3 = 4/3
Compared to 4th year, the tree in 6th year is (4/3) / (20/3) = 4/20 = 1/5 taller.

Any faster calculation for the problem?
Intern
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Re: PS - height increase [#permalink]  26 Apr 2008, 08:51
you are right I totally misunderstood the question.

consider K as increae in ht per year.
at the end of sixth year is 4 +6K. and he also gave us the it 1/5 th taller than the ht at the end of 4th year..

4+6K = 4+4K +(1/5)(4+4K)
10K = 4+4K
K = 2/3
Re: PS - height increase   [#permalink] 26 Apr 2008, 08:51
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