Question

Two workers C and D working together completed a job in 20 days. If C worked twice as efficiently than he actually did and D worked $\frac{4}{3}$rd as efficiently than he actually did, the work would have been completed in 12 days. If they get a total of Rs.360 for completing the work, what is C's share?

• A. Rs.240
• B. Rs.180
• C. Rs.120
• D. Rs.300
• E. Rs.210

Answer 1

The correct option is B

Rs.180

Let C’s 1 day’s work = ‘x’ & D’s 1 day’s work = ‘y’.

Then, $x+y=\frac{1}{20}$ and $2x+\frac{4}{3}y=\frac{1}{12}$

Solving, we get $x=\frac{1}{40}$ and $y=\frac{1}{40}$

$\therefore C^{\prime }sshare=\frac{360}{2}=Rs.180$