Subjects ratio and proportion

Bicycle Production

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Bicycle Production


1. The problem asks to find how many bicycles can be made by 40 persons working 3 hours daily, given that 25 persons working 4 hours daily can make 100 bicycles. 2. First, find the total work done in person-hours for making 100 bicycles: $$\text{Total person-hours} = 25 \times 4 = 100\text{ person-hours}$$ 3. Now, calculate the person-hours required per bicycle: $$\frac{100\text{ person-hours}}{100\text{ bicycles}} = 1 \text{ person-hour per bicycle}$$ 4. Next, find the total available person-hours with 40 persons working 3 hours daily: $$40 \times 3 = 120 \text{ person-hours}$$ 5. Finally, find the number of bicycles made with 120 person-hours: $$\text{Bicycles} = \frac{120 \text{ person-hours}}{1 \text{ person-hour per bicycle}} = 120$$ Hence, 40 persons working 3 hours daily can make 120 bicycles.