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Working together, if A, B and C can finish a task in 4 days. However, after starting the task, B quits and A and C finish the remaining task in 6 days. How many days would B take to finish if he had to perform the task alone?

Working together, if A, B and C can finish a task in 4 days. However, after starting the task, B quits and A and C finish the remaining task in 6 days. How many days would B take to finish if he had to perform the task alone? Correct Answer 12

Given,

Working together, if A, B, and C can finish a task in 4 days

However, after starting the task, B quits and A and C finish the remaining task in 6 days

Formula:

Total work = Efficiency × Time Taken

Calculation:

Total work = 12 units

Efficiency of A, B and C = 3 units/day

Efficiency of A and C = 2 units/day

Let efficiency of B be x,

⇒ x + 2 = 3

⇒ x = 3 – 2

⇒ x = 1 unit/day

∴ B alone can complete the whole work in = 12/1 = 12 days

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