Bruce takes as two times much time as Jacob takes to complete a work and thrice as much as Sam takes. if all three take 12 days to complete a work, then how much time will Bruce alone take to complete the work ?
Answers
The time taken by Bruce alone to complete the work is 60 days
Given:
Bruce takes as two times much time as Jacob takes to complete a work and thrice as much as Sam takes
All three take 12 days to complete a work
To find:
How much time will Bruce alone take to complete the work ?
Solution:
Let's assume that
Bruce can complete the work in x days
Jacob will complete the work in x/2 days
Sam will complete the work in x/3 days
From above
The work can be done by Bruce in 1 day = 1/x
The work can be done by Jacob in in 1 day = 2/x
The work can be done by Sam in 1 day = x/3
The work can be done by all three together in 1 day =1/x+2/x+x/3 = 6/x
Given that all three take 12 days to complete 1 work
⇒ 12(6/x) = 1
⇒ x = 12(6) = 72 days
The time taken by Bruce alone to complete the work = 60 days
#SPJ2