Math, asked by Ajstr5908, 1 year ago

A+B allternaviely can do a work 7days and B+A alternatively can do a work in 23/2days.then find how many days A AND B will take to complete the work separately?

Answers

Answered by amitnrw
0

Answer:

A = 10 Days

B = 5 Days

Step-by-step explanation:

Correction 23/2 days is 13/2 Days

A+B alternatively can do a work 7days and B+A alternatively can do a work in 13/2days.then find how many days A AND B will take to complete the work separately?

Let say A's 1 day work = A

& B's 1 day work = B

W = Work

A+B alternatively can do a work 7days

=>  A work for 4 days    & B work for 1 days

4A + 3B  = W

B+A alternatively can do a work in 13/2 days = 6.5 days

=> B work for 3.5 days  & A work for 3 days

3A + 3.5B = W

=> 4A + 3B  = 3A + 3.5B

=> A = 0.5B

4(0.5B) + 3B = W

=> 5B = W

=> B can complete work in 5 Days

5(A/0.5) = W  

=> 10A = W

=> A can complete work in 10 days

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