11th Class Mental Ability Arithmetic Question Bank Question - Arithmetic

  • question_answer
    A tyre has two punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, then how long does it take both the punctures together to make it flat?

    A) \[3\frac{1}{5}\min \]

    B) \[3\frac{2}{5}\min \]

    C) \[3\frac{3}{5}\min \]

    D) \[3\frac{4}{5}\min \]

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option (c) is correct. Do not be confused, take this question same as that of work done question?s. Like work done by 1st puncture in 1 minute and by second in 1 minute. Let?s solve it: 1 minute work done by both the puncture \[=\left( \frac{1}{9}+\frac{1}{6} \right)=\left( \frac{5}{18} \right)\] So both puncture will make the type flat in \[\left( \frac{18}{5} \right)\,\operatorname{mins}=3\frac{3}{5}\operatorname{mins}\]


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