WILL GIVE BRAINLIEST IF RIGHT AND WORTH 75 POINTS
The Environmental Club is holding round two of the clean-up competition. In this round, two-person teams are assigned to areas of land that are scattered with litter. The winner is the team that cleans up its area in the fastest time possible.


Team 1: Tammy could clean one-half of her area in one hour when she worked alone. Her teammate, Melissa, could clean one-third of her area in one hour when she worked alone.


Team 2: Santay could clean one-quarter of his area in an hour when he worked alone. Leticia could clean four-fifths of her area in an hour when she worked alone.


Find the rate that team one cleaned together

Find the rate that team two cleaned together

Which team was the fastest

Explain how you solved.

Respuesta :

Answer: Team one = 1/5

Team 2 = 4/21

Team A is the fastest

Step-by-step explanation: Answer: Team one = 1/5

Team 2 = 4/21

Team A is the fastest

Step-by-step explanation: TEAM A

Tammy working alone in 1hr can clean 1/2

Melissa working alone in 1 hr  can clean 1/3

working together in 1hr ,let x represent the area they will clean  we have

[tex]\frac{1}{1/2}[/tex] + [tex]\frac{1}{1/3}[/tex] = 1/x

⇒ 3 + 2 = 1/x

5 = 1/x

x = 1/5

TEAM B

Santay working alone can clean  1/4

Leticia working alone in 1 hr can clean 4/5

working together in 1 hr ,let y represent the amount they clean,  we have

[tex]\frac{1}{1/4}[/tex] + [tex]\frac{1}{4/5}[/tex] = 1/y

4 + 5/4 = 1/y

21/4 = 1/y

y = 4 /21

comparing x and y , 1/5 is greater than 4/21 , therefore Team A is faster

zonesp

Answer:

Team 1 cleaned 5/6 of their area in an hour, and team 2 cleaned 1 1/20 of their area in an hour. Therefore, team 2 was fastest

Step-by-step explanation:

general:

least common multiple of 2 (1/2), 3 (1/3), 4 (1/4), and 5 (4/5) is 60.

team 1:

using the LCM (60) we multiply 1/2 by 30 to get 30/60 and 1/3 by 20 to get 20/60. 20/60 + 30/60 = 50/60 = 5/6

team 2:

Using the LCM (60) we multiply 1/4 by 15 to get 15/60, and 4/5 by 12 to get 48/60. 48/60 + 15/60 = 63/60 = 1 3/60 = 1 1/20