Latest Cognizant Aptitude Question SOLUTION: A can finish a job alone in 42 days and C can do the same in 35 days. A and B both work on the project for 5 days, after which B leaves for vacation. A works for a day alone, after

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(#M40157324) COGNIZANT Numerical Ability question Quants Keep an EYE

A can finish a job alone in 42 days and C can do the same in 35 days. A and B both work on the project for 5 days, after which B leaves for vacation. A works for a day alone, after which C joins him and they both work together on the project for 8 days, after which A leaves for vacation. C works on the project alone for a day, after which B returns and both B and C together finish the project in 5 days. How long will it take for B to finish the project alone?
a. 35 days
b. 42 days
c. 37.5 days
d. 44 days

Asked In Cognizant lohitha (7 years ago)

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Read Solution (2) :

saleha fathima  (7 years ago)

5 w/d A --> 42
6 w/d B --> 35 LCM (42,35)=210
given
5days(Aw/d + Bw/d) + 1day(Aw/d) + 8days(Aw/d+Cw/d) + 1 day(Cw/d)+ 5days(Cw/d+Bw/d) = 210works
14 days(Aw/d+Cw/d) + 10 days(B w/d) =210 works
14days(5w/d+6w/d) + 10 days(B w/d) =210 works
14 days(11w/d) + 10 days(B w/d) =210 works
154 works + 10 days(B w/d) =210 works
10 days(B w/d) =210 works - 154 works
10 days(B w/d) =56 works
B W/d = 5.6
B alone can finish the 210 works in = (210 works)/ (5.6 w/d)
= 37.5 days

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debangshu bhattacharyya  (7 years ago)

c. 37.5 days

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