Question

Shaded can prepare one wooden chair in 3 days and shaif prepare the same chair in 4 days. If they work together, in how many days will they prepare?
one chair?
14 chairs of the same kind?

Answer 1

Work done by Shaded in one day = 1/3

Work done by Shaif in one day = 1/4

So the work done by both in 1 day $=\frac{1}{3}+\frac{1}{4}$

By taking LCM

$\frac{4+3}{12}=\frac{7}{12}$

So both can prepare the chair in $\frac{12}{7}=1\frac{5}{7}$ days

We know that

One chair can be prepared in $=12/7days$

14 chair can be prepared in $=\frac{12}{7}\times 14=24days$