A can complete a task in 18 days, and B can complete the same task in 32 days. They start working together, but B works only for 8 days. Thereafter, the work is completed by A. If they received Rs. 8,800 after completion of the work, then what is A's share (in Rs.)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 6600.
Combined work rate = (1/18 + 1/32) = 25/288
Work in 8 days = 8 × 25/288 = 25/36
Remaining work = 1 - 25/36 = 11/36
Time taken by A Alone for remaining = (11/36)/(1/18) = 5.5 days
Total time worked by A = 5.5 + 8 = 13.5 days
A’s total work = 13.5 × 1/18 = 0.75
B’s total work = 8 × 1/32 = 0.25
Ratio = 0.75 : 0.25 = 3 : 1
A’s Share = (3/4) × 8800 = 6600