Time taken by A and B together to complete work =8 days Time taken by B alone to complete work =12 days Time taken by C alone to complete work =12 days Now take LCM of 8, 12 and 12 LCM (8,12,12)=24 Assume total work =24 unit Efficiency of (A+B) together =
24
8
=3 unit/day Efficiency of B = 2 unit/day & Efficiency of C = 2 unit/day 4 days' works of A and B=4×3=12 unit 2 days' works of B=4 unit Remaining work =24 unit −(12+4) unit =8 unit Days required for C to complete the remaining work =