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Working together, A and B can complete a given task in 24 days. If the efficiencies of A and B are in the respective ratio of 3 ∶ 2, in how many days can B complete half of the task?
- A18
- B30
- C15
- D20
Answer not set
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CCommunity
Given,
(A + B) can complete a task in 24 days.
Let the efficiency of A and B be 3x and 2x.
Then in 24 days, total work done by (A + B) = 24 × (3x + 2x)
⇒ 24 × 5x = 120x
Half of task = 120x/2 = 60x
Than, B can complete half of the task = 60x/2x = 30 days
(A + B) can complete a task in 24 days.
Let the efficiency of A and B be 3x and 2x.
Then in 24 days, total work done by (A + B) = 24 × (3x + 2x)
⇒ 24 × 5x = 120x
Half of task = 120x/2 = 60x
Than, B can complete half of the task = 60x/2x = 30 days