Cognizant
Company
Numerical Ability
Time and Work
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
Read Solution (Total 2)
-
- 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 - 8 years agoHelpfull: Yes(3) No(3)
- c. 37.5 days
- 8 years agoHelpfull: Yes(0) No(11)
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