Using proportions, it is found that one mechanic could assemble 5 bicycles in 8 hours, and it would take 40 hours to assemble 25 bicycles.
The equation is: b = 0.625t.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Hence the rule of three is given by:
2 mechanics - 10 bicycles.
1 mechanic - x bicycle.
Applying cross multiplication:
2x = 10 -> x = 5 bicycles in 8 hours.
Hence the equation for the number of bicycles in t hours of a single mechanic is given by:
b = 5/8t = 0.625t.
For 25 bicycles, we have that:
25 = 0.625t.
t = 25/0.625.
t = 40 hours.
More can be learned about proportions at