Correct option is B
Given:
Ansh can complete the work in 24 days.
Ravi can complete the work in 40 days.
Shubham can complete the work in 20 days.
Ansh and Ravi work together for 8 days before Shubham joins.
Concept Used:
The rate of work is the reciprocal of time taken
Solution:
Rate of Ansh and Ravi =
Work done in 8 days =
Remaining work =
Rate of Ansh, Ravi, and Shubham =
Time taken by Ansh, Ravi, and Shubham to finish the remaining work:
Time taken=
Total time to complete the work:
Total time = 8 days + 4 days = 12 days
Alternate Solution:
Total work = LCM of 24, 40, 20 = 120
Work rate of Ansh =
Work rate of Ravi =
Work rate of Shubham =
8 days work of Ansh and Ravi together;
=
Remaining work = 120 - 64 = 56
Time taken by Ansh, Ravi, and Shubham to finish the remaining work:
=
Total time = 8 days + 4 days = 12 days