Answer:
Step-by-step explanation:
Given :
Machine A ran for 26 hours and produced 4 cockpits and 6 propulsion systems.
Machine B ran for 56 hours and produced 8 cockpits and 12 propulsion systems.
To Find : Can we solve for a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system?
Solution :
Let x be the time taken to produce 1 cockpits
So, time taken to produce 4 cockpits = 4x
So, time taken to produce 8 cockpits = 8x
Let y be the time taken to produce 1 Propulsion
So. time taken to produce 6 propulsion = 6y
So. time taken to produce 12 propulsion = 12y
Now we are given that Machine A ran for 26 hours and produced 4 cockpits and 6 propulsion systems.
⇒ --a
We are also given that Machine B ran for 56 hours and produced 8 cockpits and 12 propulsion systems.
⇒ --b
Solving equation a and b by substitution method
Substitute the value of x from equation in b
⇒
⇒
⇒
We get a statement that is not true; thus the system has no solution, and we cannot solve for a unique amount of time.