Question

$S,T$ and $U$ can complete a work in $40,48$ and $60$ days respectively. They received$Rs.10800$ to complete the work. They begin the work together but $T$ left $2$ days before the completion of the work and $U$ left $5$ days before the completion of work. $S$ has completed the remaining work alone. What is the share of $S$ (in Rs) from total money.

• A. $4000$
• B. $4320$
• C. $4500$
• D. $4860$

Answer 1

The correct option is D $4860$

$S=40\times 6=240$

$T=48\times 5=240$

$U=60\times 4=240$

Let time taken by them to complete the work $=x$ days

$6x+5(x-2)+4(x-5)=240$

$\Rightarrow 15x=240+30=270$

$x=18$

Workdone by $S=6\times 18=108$

Share of $S=\frac{103}{240}\times 10800=4860Rs$