In How Many Days B Alone could do it, If

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

  1. 25 days
  2. 20 days
  3. 15 days
  4. None of the above
Monis Rasool Professor Asked on 13th June 2015 in Maths.
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1 Answer(s)

Answer: (1) 25 days.
Explanation:-

(A + B) can do a work = 10 days
Therefore, (A + B) can do work in a day = 1/10

C can do a work = 50
Therefore, C can do work in a day = 1/50

(A + B + C) can do work in a day = 1/10 + 1/50
= 6/50 = 3/50 ……..(1)
A can do work = (B + C) can do work  ..(2)
From (1) & (2),
2 x (A can do work in a day) = 3/25
A can do work in a day = 3/2 x 25 = 3/50
Therefore, B can do work in a day = 1/10 – 3/50
= 2/50 = 1/25
Hence, B alone can do work complete in 25 days.

Anurag Mishra Professor Answered on 13th June 2015.
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