A can do one fourth of work in 5 days while B can do one fifth of work in 6 days. In how many days can both do it together?
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Answered by
2
Answer:
Work = x
A= 1/4 x takes 5 days
B = 1/5x takes 6 days
1/4x + 1/5x = 9/20x
5days + 6days = 11 days
Hence in 11 days , they both can do 9/20 of the work
I hope it helps
Answered by
6
Step-by-step explanation:
A can do 1/4 of work in 5 days .
therfore to complet the work is 1/4 / 5/1 which is 1/4 x 1/5 = 20 days .
b can do 1/5 of work in 6days .
therfore to complete the work is 1/5 / 6/1 which is 1/5 x 1/6 = 30 days .
therfore 1/20 + 1/30 = 3/60 + 2/60 = 5/60
therfore 5/60 of work in one day or by ( simplified ) 1/12
therfore 1/12 of the total work in one day .
therfore it will take 12 days to complete the total number of work .
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