It takes 6 workers from the Fast Movers Company 10 hours to unload 6 trucks. It takes 10 workers from the Careful Movers Company 8 hours to load 2 trucks. How long would it take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks?

Answer:

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks is 13 hours and 20 minutes

Step-by-step explanation:

The time it takes 6 workers from the Fast Movers Company to unload 6 trucks = 10 hours

The time it takes 10 workers from the Careful Movers Company to load 2 trucks = 8 hours

Therefore, when 1 worker of the Fast Movers Company is unload 1 truck each of the 6 trucks it takes 10 hours

Which gives the time for 1 worker of the Fast Movers Company is unload 1 truck = 10 hours, which gives;

10 worker hours per truck or 10 worker·h/(truck)

Similarly we have;

The time it takes 10 workers of the Careful Movers Company to load 2/2 = 1 truck = 8/2 = 4 hours

Therefore, the time it would take 1 worker of the Careful Movers Company to load 1 truck = 10 × 4 hours = 40 hours, which gives;

40 worker·h/(truck)

Let "t" represent the time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks

We have;

[tex]\dfrac{4 \ workers \times t }{\left (\dfrac{10 \ worker \cdot hour}{truck} \right ) } + \dfrac{8 \ workers \times t }{\left (\dfrac{40 \ worker \cdot hour}{truck} \right ) } = 8 \ trucks[/tex]

Which can be simplified as follows;

[tex]\dfrac{4 \ trucks \times t }{10 \cdot hour} + \dfrac{8 \ trucks \times t }{40 \cdot hour} = t \times \left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) = 8 \ trucks[/tex]

[tex]t = \dfrac{8 \ trucks}{\left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) } = \dfrac{8 \ trucks}{\left ( \dfrac{3 \ trucks }{5 \ hour} \right ) } = \dfrac{5 \ hour\times 8 \ trucks}{3 \ trucks } \right ) } = \dfrac{40}{3} \ hours[/tex]

t = 40/3 hours =  13 hours and 20 minutes

The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks = 13 hours and 20 minutes

The area of the triangle below is square meters. What is the length of the base?
Express your answer as a fraction in simples

write an equation perpendicular to 4x + 8y = 3 and contain the point (5,7) in slope-intercept form

Simplify: (4x + 3 ) - (5x - 1)

Sophie had two different coupons for the book store, 15% off coupon or the $2.50 off coupon. The store only allows you to use one coupon at time. The book she wanted was $12. Which is a better coupon for sophie to use and why

Two glasses of milk and 3 snack bars have a total of 63 carbohydrates​ (carbs), and 4 glasses of milk and 2 snack bars have a total of 82 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Jamie is helping out in the school library. He needs to figure out how many shelves the library staff should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on shelves. How many shelves should the library order?

9
Emily Meyer
Compounding - Solve for Future Value
Jan 14,9:51:37 PM
Watch help video
?.
Brianna invested $25,000 in an account paying an interest rate of 3.6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 18 years?
Answer:
Submit Answer
attempt 1 out of 2

If <2 <4 what type of angle relationship do they have

i do not get this question

17.URGENT
Can someone please help me?​

Rita started to run on a treadmill after setting its timer for 93 minutes. The display says that she has finished 24% of her run. How many minutes have gone
by? Round your answer to the nearest tenth.
1 minutes
5
?

what is n divided by 8?

please help asap (30 ponts)

Subtract 5x−2 ​​from​ −3x+4 .




−8x+6

2x + 2

−8x+2

8x−6

A rectangular wall in Andrew's house has the dimensions shown. If
Andrew plans to hang two rectangular paintings that each measure 4.5
feet by 3 feet, find the area of the wall that will not be covered by the
paintings
12 ft
18 ft
a. 216 square feet
b. 189 square feet
c. 243 square feet
d. 156 square feet

What are the coordinates of point A?
I will give brainliest:)

88 students for 4 classes how many students per class?

Which statements comparing the to box plots are correct? Choose all the correct statements

Solve for x:
9x - 3-8x = 7 - X
O A. x=-7
B. X = -2
o
C. x = 4
o
D. X = 5
I need help ASAP

Type the correct answer in the box. Use numerals instead of words.
What value of x makes this equation true?
-2x + 3 = -15
X=

On a road map with a scale of 1 cm. : 110 mi., the distance between two cities measures 4.5 cm. What is the actual distance between these two cities?

14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

(Giving Brainliest♡)

Draw fraction models to solve this equation.

5 ÷ 1/3

Here is an image if needed!:

Please help me with this question. and explain how you got it so I can do my other problems! thank you.

PLZ HELP

What is the inverse of the function f(x) = x +3?

O h(x)=1/3x+3

O h(x)=1/3x-3

O h(x)=x-3

O h(x)=x+3

if two angles form a linear pair and the measure of one angle is 47 degrees, what is the measure of the other angle

PLZ HELP ANSWER ALL 3 WILL MARK BRAINLEST

The number 12 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10

Find the value of x.
Z
Y
11x – 10
80°
W
X

Solve the equation.

x/-2-17=-7

A.) 48

B.) –2

C.) 14

D.) –20