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 …

Question

asked Jun 6, 2015 156k views

2 Answers

Grenade · Answer 1 · 2015-06-13T14:46:42+0000

Answer:

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.