Question

if 12 men can reap a field in 8 days in how many days 16 men reap the same field ​

Answer 1

Answer:

12 men can reap the field in 8 days

1 man can reap the field in (12×8) days

• 16 men can reap the field in (12×8)/16 days

=6days

Hence, 16 men can reap the field in 6days.

Answer 2

$\begin{gathered} \\ \Large{\bf{\green{\underline{AnSwEr\::}}}} \\ \end{gathered}$

No of days 16 men recap the same field = 6 days

$\begin{gathered} \\ \Large{\bf{\red{\underline{GiVeN\::}}}} \\ \end{gathered}$

• 12 mens can recap a field in 8 days.

$\begin{gathered} \\ \Large{\bf{\purple{\underline{To \: FiNd\::}}}} \\ \end{gathered}$

• No.of days,16 mens recap the same field.

$\begin{gathered} \\ \Large{\bf{\pink{\underline{SoLuTiOn\::}}}} \\ \end{gathered}$

we know that,

x men can do the work in y days.

1 man can do the work in xy days.

then,z men can do the work in $\sf\frac{xy}{z}$days.

Hence,

$\small{ \sf{ \red{ \: {no \: of \: days \: 16 \: men \: recap \: same \: field = \frac{xy}{z} }}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \: \longrightarrow \: no \: of \: days \: 16 \: men \: recap \: same \: field = \frac{12 \times 8}{16} \: \: \: \: \: \: \\ \\ \sf \: \longrightarrow \: no \: of \: days \: 16 \: men \: recap \: same \: field = \dfrac{ \cancel{12} \: \: \: 6\times { \cancel{8}}}{ \cancel{16}} \\ \\ \sf { \pink{ \underline{ \longrightarrow \: no \: of \: days \: 16 \: men \: recap \: same \: field = 6 \: days}}}$