Question

A and B together can do a work in 16 days which B and C together can do in 32 days.After A has been working at it for 15 days and B for 13 days.C finished it in 10 days in how many days A and C alone will do the work respectively​

Answer 1

Answer:

A = 24 days, B = 48 days, C = 96 Days.

A + C = 96/5 days.

Step-by-step explanation:

A+ B = 1/16

B + C = 1/32

15A+ 13B+ 10C = 1

15A + 15B - 2B + 10C = 1

15(A+B) - 2(B+C) + 12C = 1

15/16 - 2/32 + 12C = 1

28/32 + 12C = 1

12C = 4/32 => C = 1/96.

B = 1/32 - 1/96 = 2/96 = 1/48.

A = 1/16 - 1/48 = 2/48 = 1/24.

A&C together can do the work in 1/24 + 1/96 = 5/96

A + C = 96/5 days