7
9. A and B together complete a piece of work in T
days. If A alone completes the work in T + 1days
and B alone completes the piece of work in T + 4
days, what is T?
(S.B.I.P.O., 2008)
(a) 3 days
(b) 9 days
(c) 12 days
(d) Cannot be determined
(e) None of these
tantly
Answers
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Answer:
none of these
Step-by-step explanation:
Description for Correct answer:
(A + B)'s 1 day's work = 1T
A's 1 day's work = 1T+3
B's 1 day's work = 1T+12
∴ 1(T+3)+1(T+12) = 1T
=> T+12+T+3(T+3)(T+12)=1T
=> 2T+15T2+15T+36 = 1T
=> 2T2+15T=T2+15T+36
=> T2 = 36
=> T = 6 days
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