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Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?

Read Solution (Total 2)

A and B 1day work = 1/6
B and C 1day work = 1/10
c and A 1day work =1/7.5
A,B,C 1day work =(1/6 + 1/10 + 1/7.5)*1/2=1/5

so A.B.C completes work in 5 days
12 years agoHelpfull: Yes(13) No(3)

5 days take to complete the job together.

Let A be the number of days that A will take to complete the job alone,
B days for B to complete the job alone and
C days for C to complete the job alone.

A and B can do a job in 6 days. They complete 1/6 th of the job in a day.
i.e. 1/A + 1/B = 1/6 -- (1)
Similarly, B and C will complete 1/10th of the job in a day.
i.e 1/B + 1/C = 1/10 -- (2)
And C and A will complete 1/7.5 or 2/15th of the job in a day
i.e 1/C + 1/A = 2/15 -- (3)
Adding (1), (2) and (3) we get
==> 1/6 + 1/10 + 2/15 = (5+3+4)/30
==> 6/30 (or) 1/5
i.e working together, A, B and C complete 1/5th of the job in a day.
Therefore, they will complete the job in 5 days.
13 years agoHelpfull: Yes(4) No(10)

GENPACT Other Question

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work? Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?