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# The concentration of a certain chemical in a full water tank

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Intern
Joined: 13 Jun 2004
Posts: 4
The concentration of a certain chemical in a full water tank [#permalink]

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21 Mar 2006, 22:40
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The concentration of a certain chemical in a full water tank depends on the depth of the water. At a depth that is x feet below the top of the tank, the concentration is 3 + 4/sqrt(5-x) parts per million, where 0 < x < 4. To the nearest 0.1 foot, at what depth is the concentration equal to 6 parts per million ?

A : 2.4 ft
B : 2.5 ft
C : 2.8 ft
D : 3.0 ft
E : 3.2 ft
Director
Joined: 10 Oct 2005
Posts: 718

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22 Mar 2006, 05:53
6 parts per million=3 + 4/sqrt(5-x)
3= 4/sqrt(5-x)--->3sqrt(5-x)=4--->9(5-x)=16-->x~approx =3.2
Hence E!
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Intern
Joined: 13 Jun 2004
Posts: 4

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22 Mar 2006, 08:46
Thanks OA is E
22 Mar 2006, 08:46
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