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There are two person A and B.A alone can complete the whole work in x days and B alone can complete the whole work in y days. Working together they can complete the whole work in 12 day. Which of the following statements is/are true regarding x and y? A) 20 days and 30 days B) 25 days and 300/13 days C) 32 days and 96/5 days D) 40 days and 10 days 

There are two person A and B.A alone can complete the whole work in x days and B alone can complete the whole work in y days. Working together they can complete the whole work in 12 day. Which of the following statements is/are true regarding x and y? A) 20 days and 30 days B) 25 days and 300/13 days C) 32 days and 96/5 days D) 40 days and 10 days  Correct Answer A, B and C 

From statement A

⇒ (1/20) + (1/30) = (1/12)

⇒ (2 + 3)/60 = 1/12

⇒ 1/12 = 1/12 (Satisfied)

From statement B

⇒ (1/25) + (13/300) = 1/12

⇒ (12 + 13)/300 = 1/12

⇒ 1/12 = 1/12 (Satisfied)

From statement C

⇒ (1/32) + (5/96) = 1/12

⇒ 1/12 = 1/12 (Satisfied)

Hence option 3 is correct.

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