Question
If Ankit takes four times the time that Ravi takes or five
times the time that Sandeep takes to finish a task, and all three working together can complete it in four days, how much time will Ravi need to complete the task alone?Solution
ATQ;
Let time taken by Ankit alone to finish the work = 20x
Time taken by Ravi alone to finish the work = 5x
Time taken by Sandeep alone to finish the work = 4x
Let total work = LCM of 20x, 5x, and 4x = 20x
Part of work done by Ankit, Ravi, and Sandeep alone in 1 day is 1 unit, 4 units, and 5 units respectively.
Total time taken to finish the task by all the 3 persons together = 4
20x / (1 + 4 + 5) = 4
x = 2
Time taken by Ravi alone to finish the work = 5x = 10 days
Statements: L < E; M = O; E >K ≥ M
Conclusions:
I. L < M
II. K = O
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