Question

Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Use what you determined in part (a) to write the unit rate for one bicycle mechanic to assemble bicycles. Write an equation that relates the rate, bicycles, and time needed for one mechanic. Let t represent time and b represent bicycles assembled. Use your equation to find out how long it would take one mechanic to assemble 25 bicycles.

Answer 1

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 brainly.com/question/24372153

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