The efficiency of pipe B filling a tank is double than that of A. Find

1.	The efficiency of pipe B filling a tank is double than that of A. Find the ratio of the amount of water in the tank filled by A and B if pipe A is opened for three times more time than B. 1. 2 : 12. 5 : 13. 6 : 74. 6 : 5
Answer» Correct Answer - Option 1 : 2 : 1 Given: The efficiency of pipe B filling a tank is double than that of A. FORMULA: If efficiency is double, the time taken to do a work will be half. Efficiency is inversely proportional to time taken for doing work. Total work = Efficiency × time CALCULATION: From the question The efficiency of B = 2 × efficiency of A Let In 1 hour A fill 1 unit in a tank, then In 1 hour B will fill 2 units. Now, let pipe B is opened for x hours then, pipe A is opened for 4x hours. In x hours B will fill = 2 × x = 2x unit In 4x hours A will fill = 1 × 4x = 4x unit ∴ The ratio of water in tank by A and B = 4x/2x = 2 : 1

The efficiency of pipe B filling a tank is double than that of A. Find the ratio of the amount of water in the tank filled by A and B if pipe A is opened for three times more time than B. 1. 2 : 12. 5 : 13. 6 : 74. 6 : 5

Answer» Correct Answer - Option 1 : 2 : 1

Given:

The efficiency of pipe B filling a tank is double than that of A.

FORMULA:

If efficiency is double, the time taken to do a work will be half.

Efficiency is inversely proportional to time taken for doing work.

Total work = Efficiency × time

CALCULATION:

From the question

The efficiency of B = 2 × efficiency of A

Let In 1 hour A fill 1 unit in a tank, then

In 1 hour B will fill 2 units.

Now, let pipe B is opened for x hours then, pipe A is opened for 4x hours.

In x hours B will fill = 2 × x = 2x unit

In 4x hours A will fill = 1 × 4x = 4x unit

∴ The ratio of water in tank by A and B = 4x/2x = 2 : 1

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