Correct Answer - Option 1 : 8
Given:
Ram can do 3/12 part of work in 6 days. Raghav can do 50% of work in 18 days and Reshma can do 11/6 part of work in 33 days.
Concept used:
Time and work
Calculation:
Ram does 3/12 part of work in 6 days
Ram does whole work in \(\frac{{6 × 12}}{3} = 24\ days\)
Raghav does 50% of work in 18 days
Raghav can do whole work in 18 × 2 = 36 days.
Reshma does 11/6 part of work in 33 days
Reshma can do whole work in \(\frac{{6 \times 33}}{{11}} = 18\ days\)
Take LCM of 24,36 and 18 which is 72
Total work = 72
Efficiency of Ram = (72/24) = 3
Efficiency of Raghav = (72/36) = 2
Efficiency of Reshma = (72/18) = 4
Time taken by them to work together = \(\frac{{72}}{{3 \ +\ 4\ +\ 2}}= 8\ Days\)
