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Geeta took 100% more days than Mamta and together they can finish a piece of work in 60 days. Then Mamta will take how many days to finish this work alone?1. 81 days2. 60 days3. 90 days4. 50 days5. 88 days |
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Answer» Correct Answer - Option 3 : 90 days Given: Number of days taken to finish a piece of work together = 60 days Calculation: Let the number of days taken by Mamta be x Efficiency of Mamta = 1/x units Number of days taken by Geeta x + (100/100) × x = 2x ⇒ Efficiency of Geeta = 1/2x According to the question, Mamta and Geeta together can finish the work in 60 days Now, \( \Rightarrow \;\frac{1}{x}\; + \;\frac{1}{{2x}} = \;\frac{1}{{60}}\) \( \Rightarrow \;\frac{{2 + 1}}{{2x}} = \;\frac{1}{{60}}\) \( \Rightarrow \;\frac{3}{{2x}} = \;\frac{1}{{60}}\) ⇒ x = 90 ∴ Mamta will complete her work alone in 90 days. |
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