A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in :
A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they wil complete the same work in :
[A]4 days
[B]$latex \frac{1}{4}&s=1$ days
[C]$latex 3\frac{3}{7}&s=1$ days
[D]$latex \frac{7}{24}&s=1$ days
$latex \mathbf{3\frac{3}{7}}&s=1$ days
A’s 1 day’s work = $latex \frac{1}{24}&s=1$
B’s 1 day’s work = $latex \frac{1}{6}&s=1$
C’s 1 day’s work = $latex \frac{1}{12}&s=1$
(A+B+C)’s 1 day’s work = $latex \frac{1}{24}+\frac{1}{6}+\frac{1}{12}=\frac{1+4+2}{24}=\frac{7}{24}&s=1$
∴ The work will be completed by them in $latex \frac{24}{7}&s=1$ i.e. $latex 3\frac{3}{7}&s=1$ days.