Question

Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how many minutes does it take them to line a football field?

a. 40 minutes
b. 80 minutes
c. 200 minutes
d. 240 minutes HELP?!

Answer 1

Answer: If they work together, they can line a football field in 48 minutes.

Step-by-step explanation: Given that Reggie can line a football field in 120 minutes and Rosalinda can line a football field in 80 minutes.

We are to find the number of minutes does it take them to line a football field if they work together.

We have

Time taken by Reggie to line a football field = 120 minutes.

So, in 1 minute, Reggie can line
`(1)/(120)` part of the field.

Time taken by Rosalinda to line a football field = 80 minutes.

So, in 1 minute, Rosalinda can line
`(1)/(80)` part of the field.

Therefore, if they work together, the portion of the football field that they can lie in 1 minute is given by

`(1)/(120)+(1)/(80)\\\\\\=(2+3)/(240)\\\\\\=(5)/(240)\\\\\\=(1)/(48)`

Thus, if they work together, they can line a football field in 48 minutes.

Answer 2

If they work together, they take 48 minutes to line the football field.

Explanation:

Given: Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes.

To find : If they work together, how many minutes does it take them to line a football field?

Solution :

If they work together,

Let the number of minutes(x) they take to line the foot ball field.

According to question,

`(1)/(x)=(1)/(120)+(1)/(80)`

`(1)/(x)=(80+120)/(120* 80)`

`(1)/(x)=(200)/(120* 80)`

Cross multiply,

`x=(120* 80)/(200)`

`x=12* 4`

`x=48`

Therefore, If they work together, they take 48 minutes to line the football field.