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Pradeep has done 1/4th of a job in 14 days, Saquib completes the rest of the job in 56 days. In how many days can they together complete the job?
- A64 days
- B32 days
- C16 days
- D8 days
Answer not set
Discussion 1
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CCommunity
We know that,
Work done = Efficiency × Time taken
Let’s assume the total work done to be ‘1’, Pradeep’s efficiency be ‘P’ and Saquib’s efficiency be ‘S’
According to the given information,
⇒ P × 14 = ¼
⇒ P = 1/56
⇒ S × 56 = ¾
⇒ S = 3/224
If they work together, let’s assume they take ‘T’ days.
⇒ (P + S) × T = 1
⇒ (1/56 + 3/224) × T = 1
⇒ ((4 + 3)/224) × T = 1
⇒ T = 224/7
∴ T = 32 days
Work done = Efficiency × Time taken
Let’s assume the total work done to be ‘1’, Pradeep’s efficiency be ‘P’ and Saquib’s efficiency be ‘S’
According to the given information,
⇒ P × 14 = ¼
⇒ P = 1/56
⇒ S × 56 = ¾
⇒ S = 3/224
If they work together, let’s assume they take ‘T’ days.
⇒ (P + S) × T = 1
⇒ (1/56 + 3/224) × T = 1
⇒ ((4 + 3)/224) × T = 1
⇒ T = 224/7
∴ T = 32 days