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A tank takes 24 hours to filled but due to leakage it takes 6 hours more to full it. How much time leakage will take to empty tank? If tank is full.1. 100 hrs.2. 120 hrs.3. 150 hrs.4. 125 hrs.5. 170 hrs. |
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Answer» Correct Answer - Option 2 : 120 hrs. Given: Time to fill tank = 24 hours due to leakage it takes 6 hours more to full. Calculations: Total work is done in 1 hour, ⇒ \(\frac{1}{{24}}\; - \;\frac{1}{X}\; = \;\frac{1}{{30}}\) ⇒ \(\frac{1}{{24}}\; - \;\frac{1}{{30}}\; = \frac{1}{X}\) ⇒ \(\frac{{30\; - \;24}}{{720}}\; = \;\frac{1}{x}\;\) ⇒ \(\frac{6}{{720}}\; = \;\frac{1}{x}\) ⇒ \(\frac{1}{{120}} = \;\frac{1}{x}\) ∴ It will take 120 hours to empty the tank. |
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