Question

An assembly line worker at rob bicycle factory adds a seat to a bicycle at a rate of 2 seats every 12 minutes write and solve a proportion to determine how long it will take to add 16 seats

Answer 1

6N = T

They will take 96 minutes to add 16 seats.

Explanation:

In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.

If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.

⇒ N = kT ........... (1)

Now, N = 2 for T = 12 minutes.

So, from equation (1), 2 = 12k

⇒
`k = (1)/(6)`

Therefore, the equation (1) becomes
`N = (1)/(6)T`

⇒ 6N = T ......... (2)

Now, for N = 16, from equation (2) we get,

T = 16 × 6 = 96 minutes.

Therefore, they will take 96 minutes to add 16 seats. (Answer)