Latest self Aptitude Question SOLUTION: A & B can do work in 12 days while B & C do it in 6 days. after A had worked on it for 3 days & B for 4 days.C finished the work in 7 days. in how munch days could each do th work

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(#M40011535) SELF question time and work Keep an EYE

A & B can do work in 12 days while B & C do it in 6 days. after A had worked on it for 3 days & B for 4 days.C finished the work in 7 days. in how munch days could each do th work separately?

thyagarajan (12 years ago)

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Shipra  (12 years ago)

Let a,b,c be the number of days in which A,B and C complete the work alone respectively.

after A had worked on it for 3 days & B for 4 days.C finished the work in 7 days.
4*(1/b+1/c)+3*(1/a+1/c)=1
4*1/6 + 3*(1/a+1/c)=1
3*(1/a+1/c)=1/3
(1/a+1/c)=1/9
1/a +1/b =1/12
1/b + 1/c = 1/6

solving these, we get
a=72, b= 72/5 days, c= 72/7 days

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