Question
Download Solution PDFA can do a piece of work in 18 days. B can do this work in 24 days. A started the work alone. After how many days should B join him, so that the work is finished in 15 days?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do a piece of work in 18 days,
B can do the same work in 24 days,
Work is finished in 15 days
Concept:
Work done = Time × Work rate
Calculation:
Let the total work = LCM(18, 24) = 72 units
So,
Efficiency of A = 72/18 = 4 units
Efficiency of B = 72/24 = 3 units
A starts the work, so A works for 15 days.
So,
Work completed by A = 15 × 4 = 60 units
So,
Work completed by B = 72 - 60 = 12 units
So,
B works for = 12/3 = 4 days
So,
B joins the work after = 15 - 4 = 11 days
Therefore, B should join A after 11 days.
Last updated on Jul 8, 2025
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