A can build a wall in 24 days, B can do the same in 32 days and C can do in 48 days. Totally 12 walls are to be built. 'A' does the work for first 64 days and 'B' continues the work for the next 24 days. How many days should C work?
Explanation:
Let the amount of work done to build one wall = LCM (24, 32, 48) = 96 units.
Efficiency of A = 96/24 = 4 units/day Efficiency of B = 96/32 = 3 units/day Efficiency of C = 96/48 = 2 units/day
Total 12 walls are to be built. i.e., total work to be done = 12 × 96 = 1152 units
Now,
Work done by A in 1st 64 days = 4 × 64 = 256 Work done by B (next 24 days) = 3 × 24 = 72
Total work done by A and B = 256 + 72 = 328 units
Work remaining = 1152 – 328 = 824 units
So, Work done by C = 824 = 2 × no. of days C has to work
∴ No. of days C has to work = 824/2 = 412 days
Hence, option (a).
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