1.

A can fill the tank in 3 hours and B can empty the tank in 6 hours. How much time it will take to fill the tank if both pipes are open together?1. 3 hours2. 6 hours3. 2 hours4. 1 hours

Answer» Correct Answer - Option 2 : 6 hours

Given:

A can fill the tank in 3 hours and B can empty the tank in 6 hours

Concept Used:

If time taken to fill the tank = X days/hours

∴ Part of tank fill in one day/hours = 1/X

Efficiency ∝ 1/Time

Calculation:

A can fill the tank in 3 hours

∴ Part of tank fill in one hours = 1/3

B can empty the tank in 6 hours

∴ Part of tank emptied in one hour = 1/6

Now, if both the pipes are open together

∴ Time taken to fill the tank = 1/3 – 1/6 = 1/6

So, both the pipes will fill the tank in 6 hours

Hence, option (2) is correct



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