Question

Megha can do a piece of work in 12 days. If Megha and Sneha completed the work together and were paid Rs. 54 and Rs. 81 respectively. How many days must they have taken to complete the work together?

• A. 4 days
• B. 4.8 days
• C. 6 days
• D. 7.5 days

Answer 1

The correct option is B 4.8 days

Since the ratio of money given to Megha and Sneha is $2:3$, their work done would also be in the same ratio. Thus, their time ratio would be $3:2$
Thus, If Megha takes 12 days, Sneha would take 8 days and the total number of days required would be given by the equation:
$(\frac{1}{12}+\frac{1}{8})\times x=1$.
Solving the same $x=\frac{24}{5}=4.8$ days.