Correct Answer - Option 2 : 4.5 hours
Given:
Machines A and B produce 8000 clips in 4 hours and 5 hours respectively.
Concept Used:
Concept of unitary method
Unitary Method: The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Calculation:
In 1 hour machine A can produce 8000/4 = 2000 clips
In 1 Hour machine B can produce 8000/5 = 1600 clips
Starting with B in 2 hours B and A can produce (2000 + 1600) = 3600
⇒ In 4 hours B and A can produce 3600 × 2 = 7200 clips
Now machine B will start producing
Remaining to complete the target = (8000 - 7200) = 800
To produce to 800 clips machine B will take time = 800/1600 = 0.5 hours
Total time to complete the production = (4 + 0.5) = 4.5 hours
∴ In 4.5 hours 8000 clips will be produce.