A and b can do a piece of work in 12 days b and c in 15 days c and a in 20 days. in how many days will a alone take to complete the work
Answers
Answered by
1
a+b=12
b+c=15
c+a=20
(A + B)’s 1 day’s work
(B + C)’s 1 day’s work
(C + A)’s 1 day’s work
On adding, 2(A + B + C)’s 1 day’s work
∴ (A + B + C)’s 1 day’s work
∴ A’s 1 day’s work
∴ A alone will complete the work in 24 days.
b+c=15
c+a=20
(A + B)’s 1 day’s work
(B + C)’s 1 day’s work
(C + A)’s 1 day’s work
On adding, 2(A + B + C)’s 1 day’s work
∴ (A + B + C)’s 1 day’s work
∴ A’s 1 day’s work
∴ A alone will complete the work in 24 days.
Similar questions