Question

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine?

Answer 1

Therefore the constant rate of new machine should be 30 units per hour.

Step-by-step explanation:

Given that,

Company C has a machine that, working alone at its constant rate.

In 5 hours it produced 100 units certain product.

In 1 hour it produced (100÷5) units certain product.

=20 units.

So,the constant rate of this machine is 20 units per hours.

Company C buys a new machine.

If two machine are working together,

In 2 hours, they produces 100 units.

In 1 hour, they produces (100÷2) units=50 units.

The constant rate of both machines is 50 units per hours.

Since first machine produces 20 unit per hour.

Then, the new machine produces =(50-20) =30 units per hour.

Therefore the constant rate of new machine should be 30 units per hour.