1.

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

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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