Question
‘A’ and ‘B’ can build a wall in 8 days and 12 days, respectively. If ‘A’ started building the wall alone but after 4 days he was replaced by ‘B’, then find the total time taken to build the wall.
Solution
Let total work be 24 units = LCM of (8 and 12)Efficiency of ‘A’ = 24/8 = 3 units/dayEfficiency of ‘B’ = 24/12 = 2 units/dayTotal work done by ‘A’ in 4 days = 4 × 3 = 12 unitsTime taken by ‘B’ to build rest of the wall = {(24 – 12)/2} = 6 daysTotal time taken = 6 + 4 = 10 days
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