Math, asked by sandhya646, 7 months ago

A and B together can do a certain work m 16 days, whereas B and together and
is twice as good a workman as C, then B alone can do the same work​

Answers

Answered by amitnrw
1

Given : A and B together can do a certain work m 16 days, whereas B and C together in 20 days and  A is twice as good a workman as C,

To Find : B alone can do the same work​ in how many days

Solution:

A   can do work in A Days

B  can do work on B days

C can do work in 2A  Days   ∵A is twice as good a workman as C,

1/A  + 1/B = 1/16

1/B + 1/2A  = 1/20

=> 1/A  - 1/2A  = 1/16 - 1/20

=> 1/2A  = 1/80

=> A = 40

1/40 + 1/B = 1/16

=> 1/B = 3/80

=> B = 80/3

B alone can finish work in 80/3 Days

B alone can do the same work​ in 80/3 days

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