Question : A can do a certain piece of work in 2.4 times the number of days in which B and C together can do it. If A and B together can do the same piece of work in 27 days and C alone can do it in 75 days, then how many days will B take to do this piece of work alone?
Option 1: 54
Option 2: 48
Option 3: 45
Option 4: 42
Correct Answer: 45
Solution :
(A + B)'s 1 day's work =
C's 1 day's work =
(A + B + C)'s 1 day's work =
A's 1 day's work =
⇒ (B + C)'s 1 day's work =
A's 1 day work =
we know (A + B)'s 1 day's work =
Hence, the correct answer is 45.
