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Meena and Sanju can complete a work in 32 days and 48 days respectively. Both of them started working together but after some days Meena left the work and Sanju alone completed the work in 24 days. For how many days did Meena work?1). \(9\frac{3}{5}\) days2). \(4\frac{3}{5}\) days3). \(5\frac{1}{5}\) days4). \(5\frac{3}{5}\) days |
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Answer» Let the TOTAL work be 96 units Efficiency of Meena = 96/32 = 3 units/day Efficiency of Sanju = 96/48 = 2 units/day Suppose Meena and Sanju worked together for x days Worked done by them = 5x Remaining work = 96 – 5x Now, this work is completed by Sanju in 24 days According to the QUESTION, ⇒ 2 = (96 – 5x) /24 ⇒ 48 = 96 – 5x ⇒ 48 = 5x $(\Rightarrow \;x = \frac{{48}}{5} = 9\frac{3}{5})$ ∴ Meena LEFT the work after $(9\frac{3}{5})$ days |
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