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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.

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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