Question

Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a speed of 60 words per minute. For what number of minutes will kameryn have more words typed than joe?

Answer 1

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

Explanation:

Let

x -----> the number of minutes

y ----> the total words typed

we know that

Kameryn

`y=75x` -----> equation A

Joe

`y=60x+510` -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

`75x=60x+510`

`75x-60x=510`

`15x=510`

`x=34\ minutes`

That means

For x=34 minutes

The amount of words written by Kameryn and Joe are the same.

therefore

For x > 34 minutes

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.