A water tank has two taps (Tap1 -Tap2) . 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?
Created: 5 years ago |
Updated: 2 years ago
best des
Tap - 1, fills in 1 hr = 1/8
Tap - 2, empties in 1 hr = 1/16
When both taps are open, the tank fills in 1 hr = (1/8 – 1/16) = 1/16
In 8 hrs, the tank fills = 1/16 ×৪ = ½
Remaining = 1 – ½ = ½
½ is filled by only Tap 1
1/8 is filled by Tap - 1 in 1 hr
So, ½ is filled by = (1×8)/2 = 4 hr
Total time = 8 + 4 = 12 hr (ans)
Md Azizur Rahman
Founder of Satt
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