Two teams working together can finish a job in 8 days. if the first team works alone for two days and the second team works alone for 5 days, 5/8 of the total work still remains. How many days will it take each team to finish the work alone?

Answers

Answer 1

x is the days that the first team finishes the work alone (x>8)

y --------------------------second-----------------------------------------(y>8)

In a day:

The first team finishes 1/x (the work) The second team finishes 1/y (the work) Two teams working together finish 1/8 (the work)

⇒          [tex]\frac{1}{x}+ \frac{1}{y} =\frac{1}{8}[/tex]               (1)

If the first team works alone for two days and the second team works alone for 5 days, 5/8 of the total work still remains:

⇒          [tex]\frac{2}{x}+\frac{5}{y}=\frac{3}{8}[/tex]                (2)

(1),(2)   ⇒   [tex]\left \{ {{\frac{1}{x}+ \frac{1}{y} =\frac{1}{8}} \atop {\frac{2}{x}+\frac{5}{y}=\frac{3}{8}}} \right. <=>\left \{ {{x=16} \atop {y=24}} \right.[/tex]

It'll take the first team 16 days and the second team 24 days to finish the work alone

ok done. Thank to me :>


Related Questions

PLZ HELP AS SOON AS POSSIBLE!!!!!!!!! WILL GIVE LIKE, 5 STARS, & BRAINLIEST; THE WHOLE SHEBANG;
Part 1
Meg is a veterinarian. She found that 5 or, 50% of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 50% out of the 2 dogs he saw this week were boxers. Does each person need to find the​ part, the​ whole, or the​ percent?
Question content area bottom
Part 1
Meg needs to find the

percent.
part.
whole.
Part 2
Steve needs to find the

percent.
part.
whole.

Answers

Answer:

Part 1: meg needs to find the whole

Part 2: steve needs to fing the part

hope this helped!

PLS HELP ASAP!!! I WILL GIVE BRAINLIEST!!
Joan represents the height at which a sea gull is flying at +4 feet and the depth at which a fish is swimming at −3 feet on a number line, where 0 represents the surface of the water. Which of these explains whether the sea gull or the fish is closer to the surface of the water? The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4. The fish is closer to the surface of the water because |+4| = 4 and − |−3| = −3, and −3 < 4. The sea gull is closer to the surface of the water because |+4| = −4 and |−3| = −3, and −3 > −4. The sea gull is closer to the surface of the water because |+4| = 4 and − |−3| = 3, and 4 > 3.

Answers

Answer:

The fish is closer to the surface of the water because |+4| = 4 and |−3| = 3, and 3 < 4.

Step-by-step explanation:

Can someone help me with these?

Answers

Answer:

1:100 and 1:14

Step-by-step explanation:

Answer:

It’s 1:100 and 1:14

Wish its the right Answer

Giving Brainliest if correct! :D

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 3) is on the graphed line.


Part A: What is the price of 1 pound of cabbage? Show your work. (8 points)

Part B: What does the ordered pair (10, 6) on the graph represent? Explain in words. (2 points)

Answers

about .60 per pound- 3/5=price per pound
the ordered pair represents 10 pounds of cabbage for 6 dollars

Answer:

Part A: (1, 0.6)

Part B: 10 pounds of cabbage is 6 dollars

Step-by-step explanation:

Part A: 3 divided by 5= 0.6

Part B: I already explained part b

Which symbol makes the number sentence true?


A. <
B. >
C. =

Answers

Answer:

C: =

Step-by-step explanation:

-10/4 = -2.5

so C they're equal

Answer:

it is c

Step-by-step explanation:

they both are equal 10/4 =2.5 aswell

pls give me brainliest

Please help! I don’t get this!

Answers

The correct answer is B!

Answer:

The answer is B) a = -7/16

Step-by-step explanation:

3/4 + 4a/7 = 6a/7 + 7/8

By transposing, we get

=> 3/4 - 7/8 = 6a/7 - 4a/7

=> (by taking LCM) 6-7/8 = 6a-4a/7

=> -1/8 = 2a/7

=> -7 = 16a (by cross multiplication)

=> a = -7/16

What is [tex]rs^{3}[/tex] divided by 8-2r if r=8 and s=3?

Answers

Answer:

-2304

Step-by-step explanation:

rs^3=(8)(3)^3=13824 r*2=8*2=16 8-16=-8

13824/-6=-2304

:)

I think the Answer is -2304
I hope I helped :3
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