Question
If Riya takes three times the time that Mahi takes or four
times the time that Neha takes to finish a task, and all three working together can complete it in 3 days, how much time will Mahi need to complete the task alone?Solution
ATQ;
Let time taken by Riya alone to finish the work = 12x
Time taken by Mahi alone to finish the work = 4x
Time taken by Neha alone to finish the work = 3x
Let total work = LCM of 12x, 4x, and 3x = 12x
Part of work done by Riya, Mahi, and Neha alone in 1 day is 1 unit, 3 units, and 4 units respectively.
Total time taken to finish the task by all the 3 persons together = 3
12x / (1 + 3 + 4) = 3
x = 1.5
Time taken by Mahi alone to finish the work = 4x = 6 days
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