Question
A robot can finish a task as quickly as two humans, 'E'
and 'F', together. If human 'E' can finish the task in 8 hours and human 'F' in 24 hours, how long will it take for the robot to complete the task?Solution
ATQ, Total work = 24 units (LCM of 8 and 24) Efficiency of human 'E' = 24/8 = 3 units/hour Efficiency of human 'F' = 24/24 = 1 unit/hour Time taken by humans 'E' and 'F' to complete the work together = 24/(3 + 1) = 6 hours Time taken by the robot = 6 hours
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