A and B can finish a work in 15 days and B and C 20 days while A and C can do it in 30 days. How long will they take to finish the work together? How long will they take to completed the work individually?
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Answer:
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.So a+b=115 jobs/day.
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.So a+b=115 jobs/day.Similarly, A, B and C take 8 days to do the same job together.
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.So a+b=115 jobs/day.Similarly, A, B and C take 8 days to do the same job together.So a+b+c=18 jobs/day.
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.So a+b=115 jobs/day.Similarly, A, B and C take 8 days to do the same job together.So a+b+c=18 jobs/day.Subtracting, c=18−115=7120 jobs/day.
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.So a+b=115 jobs/day.Similarly, A, B and C take 8 days to do the same job together.So a+b+c=18 jobs/day.Subtracting, c=18−115=7120 jobs/day.If B and C together take x days to do the job then their rate is
Let a be A’s work rate, b be B’s work rate and c be C’s work rate.If A and B take 15 days to do a job then together, their rate is 115 jobs/day.So a+b=115 jobs/day.Similarly, A, B and C take 8 days to do the same job together.So a+b+c=18 jobs/day.Subtracting, c=18−115=7120 jobs/day.If B and C together take x days to do the job then their rate isb+c=1x jobs/day