Three Pipes can independently fill a water tank in 10, 12 and 15 hours. How many hours will it take for all three Pipes opened together to fill half of the tank ? 

A  6hr 

B  5hr  

C  4hr 

D  2hr 

Solution

Correct Answer: Option D

Solution:  

        3 Pipes in 1hr fill = \(\frac{1}{{10}} + \frac{1}{{12}} + \frac{1}{{15}}\)  = \(\frac{{6 + 5 + 4}}{{60}}\)   = \(\frac{{15}}{{60}}\) = \(\frac{1}{4}\)part. 

       So, Time required to fill the full tank is  = 4 hours 

       Then half of the tank can be filled in 4 \( \div \) 2 = 2 hours   

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