Question

In a Math 3 class, the red group has four members. Brian can solve an equation in 5 minutes, Luis can solve one in 4 minutes, and Sylvia can solve one in 6 minutes. How long will it take the group to complete a 10 problem worksheet if they work together? Round your answer to the nearest tenth of a minute.

PLEASE HELP MEEEEE

Answer 1

If the red group cooperates, they can finish the worksheet with 10 problems in around 16.2 minutes.

To solve this problem

First, let calculate individual rates:

• Brian: 1 equation / 5 minutes = 0.2 equations/minute
• Luis: 1 equation / 4 minutes = 0.25 equations/minute
• Sylvia: 1 equation / 6 minutes = 0.167 equations/minute

Now, let Calculate combined rate:

Total rate = Rate of Brian + Rate of Luis + Rate of Sylvia

Total rate = 0.2 equations/minute + 0.25 equations/minute + 0.167 equations/minute

Total rate ≈ 0.617 equations/minute

Finally, let calculate time to complete the worksheet:

• Time = Work / Rate
• Time = 10 equations / 0.617 equations/minute ≈ 16.2 minutes
• Time ≈ 16.2 minutes, rounded to the nearest tenth of a minute is 16.2 minutes.

So, if the red group cooperates, they can finish the worksheet with 10 problems in around 16.2 minutes.