Question
The efficiency ratio of Neha, Karan, and Ishaan is
16:11:14, respectively. Together, they can complete a task in 30 days. Neha and Karan started the task, but after 20 days, Karan was replaced by Ishaan. In how many days was the entire task completed?Solution
ATQ,
Let the efficiencies of Neha, Karan, and Ishaan be 16x, 11x, and 14x units/day, respectively.
Total work = (16x + 11x + 14x) × 30 = 1230x units
Work done by Neha and Karan in 20 days = 20 × (16x + 11x) = 540x units
Remaining work = 1230x – 540x = 690x units
Time taken by Neha and Ishaan together = 690x / (16x + 14x) = 690x / 30x = 23 days
Total time to finish the work = 20 + 23 = 43 days
Statements: L < E; M = O; E >K ≥ M
Conclusions:
I. L < M
II. K = O
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