If A pump can take 5 hrs to fill a 50 l of tank then how much time to take to fill a 75 liters of tank for the same pump? 

A) 7 hrs 

B) 5\(\frac{1}{2}\) hrs 

C) 6\(\frac{1}{2}\) hrs 

D) 7\(\frac{1}{2}\) hrs


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Correct option is (D) \(7\,\frac{1}{2}\) hrs

\(\because\) Time taken to fill a \(50\,l\) of tank = 5 hours

\(\therefore\) Time taken to fill a \(75\,l\) of tank \(=\frac5{50}\times75\;hours\)

\(=\frac{75}{10}\;hours\) = 7.5 hours

= 7 hours + \(\frac12\) hours

= \(7\frac12\) hours

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Correct option is  D) 7\(\frac{1}{2}\) hrs

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