Abdul, Bimal, Charlie and Dilbar can finish a task in 10, 12, 15 and 18 days respectively. They can either choose to work or remain absent on a particular day. If 50 percent of the total work gets completed after 3 days, then, which of the following options is possible?
Explanation:
Let the total units of work = LCM of (10, 12, 15 and 18) = 180
Therefore, efficiencies of Abdul, Bimal, Charlie and Dilbar individually in one day will be 18 units, 15 units, 12 units and 10 units per day respectively.
Let us check options now:
Option (a): Total work done = 2 × (18 + 15 + 12 + 10) = 110 units
Option (b): Total work done = 1 × (15 + 10) + 2 × 12 + 3 × 18 = 25 + 24 + 54 = 103 units
Option (c): Total work done = 2 × (18 + 2) + 1 × 10 + 3 × 15 = 40 + 10 + 45 = 95 units
Option (d): Total work done = 2 × (18 + 10) + 1 × 12 + 3 × 15 = 56 + 12 + 45 = 113 units
Option (e): Total work done = 1 × (18 + 12) + 2 × 15 + 3 × 10 = 30 + 30 + 30 = 90 units
Hence, option (e).
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