Math, asked by renusengar, 1 year ago

a and b do a work in 15 days. b and c do aame work in10 days.and a and c do same work in 12 days.how much time taken if they do all together.

Answers

Answered by praneethks
1
a and b can do a work in 15 days means 1/a+1/b=1/15...(1) b and c can do same work in 10 days means 1/b+1/c=1/10...(2) a and c can do same work in 12 days means 1/a+1/c=1/12 ...(3)1/time taken by three persons together =1/a+1/b+1/c . Add equations (1),(2) and (3),we get 2/a+2/b+2/c=1/10+1/15+1/12=>
2(1/a+1/b+1/c) = 6/60+4/60+5/60=> 2(1/a+1/b+1/c)=15/60=> 1/a+1/b+1/c=1/8. So it takes 8 days for all three together to complete the work. Hope it helps you... Mark me as Brainliest please.
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