Question

Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days.

Answer 1

18 machines

Explanation:

Data provided in the question:

It takes 4 machines 6 days to produce x units

Therefore,

it will take 4 machines 18 days to produce 3x units

let it takes Y machines 4 days to produce 3x units

Thus,

4 × (18 days) = 3x .............(a)

Y × (4 days) = 3x .............(b)

equating equation a and b, we get

or

4 × (18 days) = Y × (4 days)

or

Y = 18

Hence,

18 machines are required to produce a total of 3x units of product P in 4 days