A water tank is (3/5)th full. Pipe A can… | Answer

Subject

Quantitative Aptitude

Topic

Time and Work

A water tank is (3/5)th full. Pipe A can fill the tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
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ক)

6 minutes to empty

খ)

6 minutes to fill

গ)

9 minutes to empty

ঘ)

9 minutes to fill

ঙ)

None of these

Explanation

∴ Part of the tank filled by Pipe A in 1 minute = 1/10 ∴ Part of the tank emptied by Pipe B in 1 minute = 1/6 ∵ The rate at which the tank is emptied is more than the rate at which it filled, When the tank is full ∴ Part of the tank emptied by both pipes in 1 minute

= {\rm{\;}}\frac{1}{6} - \frac{1}{{10}}{\rm{\;}} = {\rm{\;}}\frac{1}{{15}}

∴ Time required by both the pipes to empty the tank

= {\rm{\;}}\frac{1}{{\frac{1}{{15}}}}{\rm{\;}} = {\rm{\;}}15{\rm{\;minutes}}

Since the tank is (3/5)th full ∴ Time required by both the pipes to empty the tank

= {\rm{\;}}\frac{3}{5} \times 15{\rm{\;}} = {\rm{\;}}9{\rm{\;minutes}}

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A water tank is (3/5)th full. Pipe A can fill the tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?Reading

A water tank is (3/5)th full. Pipe A can fill the tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

Explanation

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A water tank is (3/5)th full. Pipe A can fill the tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
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