days
20
(a) 3 days
2.
20
16. A and B can do a piece of work in 72 days ; B and C can do it in 120
days ; A and C can do it in 90 days. In what time can A alone do it ?
(a) 150 days
(b) 120 days (c) 100 days (d) 80 days
(Assistant Grade 1993)
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Step-by-step explanation:
(A + B)'s 1 day's work = 1 / 72
(B + C)'s 1 day's work = 1/120
(A + C)'s 1 day's work = 1 /90
2(A + B + C)'s 1 day's work =172+1120+190
(A + B + C)'s 1 day's work = 5+3+4360X2=12360X2=160
A's 1 day's work = (A + B + C)'s 1 day's work - (B + C)'s 1 day's work
=160−1120=2−1120=1120
A alone can finish the work in 120 days.
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