Maganlal makes one article every 2/3 hour at a steady pace. If he works for 7.5 hours in a day, how many complete articles will he produce (fractional count allowed as output measure)?

Introduction:
This is a rate-time-output computation. If one article takes 2/3 hour, then the output rate is the reciprocal (articles per hour). Multiply the hourly rate by the total hours worked to get the number of articles produced. Fractional outputs represent partially completed items or a continuous-output measure in manufacturing pacing terms.

Given Data / Assumptions:

• Time per article = 2/3 hour.
• Total working time = 7.5 hours = 15/2 hours.
• Production rate is constant over the shift.

Concept / Approach:
Rate r (articles/hour) = 1 / (time per article) = 1 / (2/3) = 3/2 = 1.5. Then total output = r * time. Convert the product to a mixed or improper fraction matching the options’ style.

Step-by-Step Solution:

Verification / Alternative check:
Using fractions: Time = 15/2; r = 3/2 → Output = (3/2)*(15/2) = 45/4 = 11 1/4 = 111/4, confirming the decimal computation.

Why Other Options Are Wrong:
111/3, 112/6, and 112/5 are not equal to 11.25; 105/8 = 13.125, which is too large for the given hours.

Common Pitfalls:
Multiplying by 2/3 instead of dividing by it. Remember: output rate = 1 / (time per unit).

Final Answer:
111/4