Question
If Pritam takes two times the time that Sameer takes or
three times the time that Vikas takes to finish a task, and all three working together can complete it in 6 days, how much time will Sameer need to complete the task alone?Solution
ATQ;
Let time taken by Pritam alone to finish the work = 6x
Time taken by Sameer alone to finish the work = 3x
Time taken by Vikas alone to finish the work = 2x
Let total work = LCM of 6x, 3x, and 2x = 6x
Part of work done by Pritam, Sameer, and Vikas alone in 1 day is 1 unit, 2 units, and 3 units respectively.
Total time taken to finish the task by all the 3 persons together = 6
6x / (1 + 2 + 3) = 6
x = 3
Time taken by Sameer alone to finish the work = 3x = 9 days
