8. A and B can do a piece of work in 18 days, B
and C in 24 days, A and C in 36 days. What
time will they take if they work together?
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Answered by
14
A, B, and C do the job in a, b, and c days, respectively. Working together, in one day A and B complete
1a+1b=118
of the job per day, B and C complete
1b+1c=124
of the job per day, and A and C complete
1a+1c=136
of the job per day. Solving the system of equations,
1a=1481b=51441c=1144
Working together, A, B, and C complete
148+5144+1144=116
of the job per day, finishing in 16 days.
Answered by
4
your answer 16.......
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