Question

A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same number of atricles in 48 days ?

Answer 1

Let machines required = x

No. of machines : Time taken :: No. of machine : Time taken

42 : 56 days :: x : 48 days

(less time, more machines)

By inverse proportion

x : 56 : 42 : 48

$x=\frac{56\times 42}{48}=49$

$\therefore$ machines required = 49