Quantity I One tank is filled in 6 hours by three pipes A B and C The pipe C is twice as fast as B a...........

Quantitative Aptitude(IBPS RRB PO) Arithmatic inequalities

Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.

Quantity I- One tank is filled in 6 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank:

Quantity II- 28 hrs

Quantity I< Quantity II

Quantity I> Quantity II

Quantity I ≥ Quantity II

Quantity I ≤ Quantity II

No relation

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Explanation:

Quantity I:
Suppose pipe A alone takes x hours to fill the tank.
Then, pipes B and C will take x/2 and x/4hours respectively to fill the tank.
ATQ-
1/X+2/X+4/X=1/6
7/x=1/6
X=42 hours.
Quantity II- 28 hrs