SSC GD Constable 6 Feb 2025 Shift 2 Paper

Total Work $=$ Efficiency × Time
Calculation:
Assume:
B completes the work in $\mathit{x}$ days.
A does half the work in $3∕4$ of the time $\Rightarrow$ A does full work in $\left(3∕4\right)\times 2=3\mathit{x}∕2$ days.
Work done by A in one day $=1∕\left(3\mathit{x}∕2\right)=2∕3\mathit{x}$
Work done by $\mathit{B}$ in one day $=1∕\mathit{x}$
Together, work done in one day $=1∕66$
$\Rightarrow \left(2∕3\mathit{x}\right)+\left(1∕\mathit{x}\right)=1∕66$
$\Rightarrow \left(2+3\right)∕3\mathit{x}=1∕66$
$\Rightarrow 5∕3\mathit{x}=1∕66$
$\Rightarrow 3\mathit{x}=5\times 66=330$
$\Rightarrow \mathit{x}=330∕3=110$