Question : A, B, and C can complete a work in 10, 12 and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left. Number of days required to complete the whole work is:
Option 1:
Option 2:
Option 3:
Option 4:
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Correct Answer:
Solution :
Given: A, B, and C can complete a work in 10, 12, and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left.
Let total work = LCM of 10, 12, and 15 = 60 units [Use: Efficiency =
So, A's efficiency =
B's efficiency is =
C's efficiency is =
Let
According to the question,
⇒
⇒
⇒
Hence, the correct answer is
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