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

It will take 88 minutes to add 16 seats.

It will take 104.5 minutes to add 19 seats.

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}}=(11)/(2)`

`\frac{m}{\text{Number of seats}}=(11)/(2)`

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

`(m)/(16)=(11)/(2)`

`(m)/(16)*16=(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:

`(m)/(19)=(11)/(2)`

`(m)/(19)*19=(11)/(2)*19`

`m=11*9.5`

`m=104.5`

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