A, B and C can independently finish a piece of work in 18 days, ?x? days and 27 days respectively. A and C started working together and after 6 days B replaced both of them. If B could finish the remaining work in 16 days, what is the value of ?x? ?
A, B and C can independently finish a piece of work in 18 days, ?x? days and 27 days respectively. A and C started working together and after 6 days B replaced both of them. If B could finish the remaining work in 16 days, what is the value of ?x? ?
1). 32
2). 36
3). 34
4). 40
2 answers
(A + C)'s 1 day's work = $\frac{1}{18} + \frac{1}{27}$
= $\frac{3 + 2}{54} = \frac{5}{54}$
=> (A + C)'s 6 day's work = $\frac{5}{54} \times 6$
= $\frac{5}{9}$
=> Remaining work = $1 - \frac{5}{9} = \frac{4}{9}$
Acc to ques,
=> $\frac{16}{x} = \frac{4}{9}$
=> $x = \frac{16 \times 9}{4}$
=> $x = 4 \times 9 = 36$ days
(A + C)'s 1 day's work = $\frac{1}{18} + \frac{1}{27}$
= $\frac{3 + 2}{54} = \frac{5}{54}$
=> (A + C)'s 6 day's work = $\frac{5}{54} \times 6$
= $\frac{5}{9}$
=> Remaining work = $1 - \frac{5}{9} = \frac{4}{9}$
Acc to ques,
=> $\frac{16}{x} = \frac{4}{9}$
=> $x = \frac{16 \times 9}{4}$
=> $x = 4 \times 9 = 36$ days