Question

Bicycles: An assembly line worker at Rob's Bycycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes. Write a proportional relating the number of seats s to the number of minutes m. At this rate how long will it take to add 16 seat? 19 seats?

Answer 1

2/11=16/x
Cross Multiply
2x= 176
Solve for x.
x=88 minutes.

2/11=19/x
Cross Multiply
2x=209
Solve for x.
X=104.5 minutes.

Answer 2

Answer:

It will take 88 minutes to add 16 seats.

It will take 104.5 minutes to add 19 seats.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes.

We will use proportions to solve our given problem.

$\frac{\text{Number of minutes}}{\text{Number of seats}}=\frac{11}{2}$

$\frac{m}{\text{Number of seats}}=\frac{11}{2}$

To find the time taken to add 16 seats, we will $\text{Number of seats}=16$ in our proportion as:

$\frac{m}{16}=\frac{11}{2}$

$\frac{m}{16}*16=\frac{11}{2}*16$

$m=11*8$

$m=88$

Therefore, it will take 88 minutes to add 16 seats.

To find the time taken to add 19 seats, we will $\text{Number of seats}=19$ in our proportion as:

$\frac{m}{19}=\frac{11}{2}$

$\frac{m}{19}*19=\frac{11}{2}*19$

$m=11*9.5$

$m=104.5$

Therefore, it will take 104.5 minutes to add 19 seats.