Question
If Priya takes five times the time that Kabir takes or six
times the time that Aarav takes to finish a task, and all three working together can complete it in 5 days, how much time will Kabir need to complete the task alone?Solution
ATQ;
Let time taken by Priya alone to finish the work = 30x
Time taken by Kabir alone to finish the work = 6x
Time taken by Aarav alone to finish the work = 5x
Let total work = LCM of 30x, 6x, and 5x = 30x
Part of work done by Priya, Kabir, and Aarav alone in 1 day is 1 unit, 5 units, and 6 units respectively.
Total time taken to finish the task by all the 3 persons together = 5
30x / (1 + 5 + 6) = 5
x = 1
Time taken by Kabir alone to finish the work = 6x = 6 days
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