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1.
A water tank has two taps ( Tap-1 and Tap-2) : Tap-1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap -2 is closed after 8 hours?
- A. 10
- B. 10
- C. 10
- D. 10
Answer: Option B
Explanation:
In 1 hr, the tank is filled = 1/8 - 1/16 = 1/16
In 8 hrs " " " " = 8/16 = 1/2
Now,
1/8 part is filled by tap - 1 in 1 hour
1/2 part is filled by tap - 1 in = 8/2 = 4 hrs
So, the required time = 8 + 4 = 12 hrs
In 8 hrs " " " " = 8/16 = 1/2
Now,
1/8 part is filled by tap - 1 in 1 hour
1/2 part is filled by tap - 1 in = 8/2 = 4 hrs
So, the required time = 8 + 4 = 12 hrs
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