Question
Download Solution PDFAnil and Bablu can do a given piece of work in 50 days, Bablu and Candy can do the same work in 60 days, and Anil, Bablu, and Candy complete it in 30 days. Find the number of days required by Bablu to finish the total work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Data:
Anil and Bablu can complete the work in 50 days.
Bablu and Candy can complete the same work in 60 days.
Anil, Bablu, and Candy can complete the work in 30 days.
Concept or Formula:
The total work done is considered as the LCM of the times given,
and the individual share of work done per day is calculated using this LCM.
Solution:
Find the LCM of 50, 60, and 30
⇒ LCM = 300 (this is the total units of work)
Calculate work done by Anil and Bablu per day (A + B) = 300/50 = 6 units
Calculate work done by Bablu and Candy per day (B + C) = 300/60 = 5 units
Calculate work done by Anil, Bablu, and Candy per day (A + B + C) = 300/30 = 10 units
Calculate work done by Bablu per day (B) using the equation (A + B) + (B + C) - (A + B + C) = B
⇒ B = (6 + 5 - 10) = 1 unit
Calculate the time taken by Bablu to finish the work alone
⇒ Bablu's time = total work/work done by Bablu per day
⇒ Bablu's time = 300 / 1 = 300 days
Therefore, Bablu will take 300 days to finish the total work.
Last updated on Jul 8, 2025
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