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A pipe can fill a tank in 10 hours. Due to the leak in its bottom, the tank is filled in 12 hours. If the tank is full, then that leak can empty the tank in howmany hours?
- A65
- B72
- C45
- D60
Answer not set
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CCommunity
A pipe can fill the tank in = 10 hours
∴ In 1 hour pipe can fill = 1/10
Tank is actually filled in = 12 hours
∴ In 1 hour tank actually fills = 1/12
∴ In 1 hour the leak empties,
$( \Rightarrow \frac{1}{{10}} - \frac{1}{{12}})$
$( \Rightarrow \frac{{6 - 5}}{{60}})$
⇒ 1/60
∴ The leak can empty the whole tank in = 60 hours
∴ In 1 hour pipe can fill = 1/10
Tank is actually filled in = 12 hours
∴ In 1 hour tank actually fills = 1/12
∴ In 1 hour the leak empties,
$( \Rightarrow \frac{1}{{10}} - \frac{1}{{12}})$
$( \Rightarrow \frac{{6 - 5}}{{60}})$
⇒ 1/60
∴ The leak can empty the whole tank in = 60 hours