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RRB Paramedical Staff Nurse Model Paper 1

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Question : 47 of 100

Marks: +1, -0

There are two auto closed pipes X and Y which get closed if there is any disturbance can fill a tank in 10 and 15 hrs. respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 rd full, a leak develops in the tank which results in closing of both pipes. Through the leak one-third water supplied by both the pipes goes out & after it the leak was get closed by some means and both filling pipes again start filling the tank. The total time taken to fill the tank is

12 hr
8 hr
4 hr
6 hr

Solution:

Time taken by both pipes X and Y to fill 1/3 rd of the tank

=\frac{1}{3} \times \left(\frac{10 \times 15}{25}\right)=2 \text{ hrs}

∴ Total time to fill the tank

=2+\frac{10 \times 15}{25}

=8

hrs.

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