A and B can complete a certain task in 24 days and 40 days, respectively. They worked together for 8 days. C completed the remaining task in 14 days. Working together, A and C will complete 75% of the same work in.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 10 days.
Let the total work be the LCM of 24 and 40 = 120 units
Efficiency of A = 120/24 = 5 units
Efficiency of B = 120/40 = 3 units
They work together for 8 days
A + B = (5 + 3) × 8 = 64 units
Remaining work = (120 - 64) = 56 units
C's efficiency = 56/14 = 4 units per day
Number of days taken by A and C to do 75% of the work = 120/9 × 75/100
The required no of days = 10