IBPS PO Prelims Model Paper 6 with solutions

If A and B work together to complete a work in X days, B and C in Y days, and A and C in Z days, then
i. A, B, and C can together complete the work in =[

2XYZ

XY+YZ+ZX

]‌days
ii. A alone can finish the work in =[

2XYZ

XY+YZ−ZX

]‌days
iii. B alone can finish the work in =[

2XYZ

−XY+YZ+ZX

]‌days
iv. C alone can finish the work in =[

2XYZ

XY−YZ+ZX

]‌days
So, as per our question, B should be able to complete the whole work alone in:
=[

2XYZ

−XY+YZ+ZX

]‌days
Putting the values X = 45, Y= 60 and Z= 75,
[

2×45×60×75

−2700+4500+3375

] = 78.26 days