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# This one totally threw me off The intial height of a tree is

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Manager
Joined: 28 Aug 2006
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This one totally threw me off The intial height of a tree is [#permalink]

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25 Sep 2006, 16:07
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This one totally threw me off

The intial height of a tree is 4 feet. It increases by a constant amount every year

the height at the end of 6 years is 1/5 the height at the end of 4th year, what is the increase in height every year

I forgot the choices but they were like 3/10, 2/5, 1/2, 2/3 6/5
My frustration is that if the height increases every year how can the height at the end of 6th year be less than 4th year?

well I can get the answer if the height at the end of six years is 6/5 of what it was at the end of 4th year
SO IT MUCT BE A TYPO
Senior Manager
Joined: 14 Aug 2006
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25 Sep 2006, 16:18
Yeah...I think it is a typo as well..
Director
Joined: 09 Aug 2006
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26 Sep 2006, 11:33
Hey Guys.. Here is the exact question. And the Solution >

Since the height grown each year is constant, let it be x.

At the end of 4 yrs the height is x+4x.
At the end of 6 yrs, the height is x+6x.

Now, as per the problem , we get an equation as follows;

(4+4x) + 1/5(4+4x) = 4+6x .

Solving the above equation, we get x = 2/3 which is the answer.

Regards,
Amit
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