Question
Alex and Ben can complete a job individually in 14 days and
21 days, respectively. If they take turns to work one day each, beginning with Alex, how long will it take to complete the entire task?Solution
ATQ,
Let total work = 42 units (LCM of 14 and 21)
Alex’s efficiency = (42 ÷ 14) = 3 units/day
Ben’s efficiency = (42 ÷ 21) = 2 units/day
Work in 2 days = 3 + 2 = 5 units
Time = (42 ÷ 5) × 2 = 16.8 days
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