Question

A,B,C together do works in 10 days and A and C do work in 15 days then B alone can complete in how many days​

Answer 1

Step-by-step explanation:

A+B+C together complete a work = 10 days

A+B+C together complete a work in 1 day =

1/A + 1/B + 1/C = 1/10

A+C together complete a works = 15 days

A+C together complete a work in 1 day =

1/A + 1/C = 1/15

1/A + 1/B + 1/C = 1/10

(1/A + 1/C) + 1/B = 1/10

1/15 + 1/B = 1/10

1/B = 1/10 - 1/15

1/B = 3/30 - 2/30

1/B = 1/30

B = 30

B alone can complete the work in 30 days.