Question

A manufacturing company has an old machine which produces 25 components per hour. The company has recently installed a new machine which produces 35 components per hour. Yesterday, both machines were in operation for different periods of time. If 430 components were produced when the total number of hours of operation was 14 hours, determine for how many hours each machine was in operation

Answer 1

Answer: old machine 150, new machine 280

Explanation:

given data:

Old machine = 25t

New machine = 35t

where t = hrs

we dont know the time for old machine so we assume it to be ( t ),

while that of the new machine is ( 14-t ) hours for new machine, and sum of 430 components.

therefore;

25t +490 - 35t = 430

-10t = -60

divide both sides by -10

t = 6 hours for the first machine.

6hrs * 25 components /hr

= 150 component parts For old machine.

for new machine

= 14 - t ........... eq1.

where ( t = 6 ), substitute t into the equation

= 14 - 6

= 8 hours for the second machine

= 8 * 35

= 280 components parts