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Operations: Housekeeping Math Quiz

masha68 [24]

Answer:

Total time = 63 hours

Step-by-step explanation:

First, let us write out the information in the question:

rate at which rooms are cleaned = 20 mins/room

number of rooms = 175

one-fifth of the rooms take 40% longer to clean

Next, let us convert the extra time taken to clean the rooms from percentage to time.

40% of normal cleaning time = 40% of 20

= 40/100 × 20 = 0.4 × 20 = 8 minutes

∴ onw-fifth of the rooms take an extra 8 minutes = 28 minutes in total

Next, let us calculate how many of those rooms in the total 175 takes the extra cleaning time:

one-fifth of the rooms takes 28 minutes to clean means that:

1 in every 5 rooms out of the 175 rooms take 28 minutes to clean

∴ Number of rooms with extra cleaning time = 1/5 of 175

= 1/5 × 175 = 0.2 × 175 = 35

∴ 35 rooms take 28 minutes each to be cleaned.

Now let us calculate the total cleaning time:

if 35 rooms take the extra cleaning time, then the number of rooms that have the normal cleaning time is as follows:

175 - 35 = 140

Total time:

140 rooms taking 20 minutes per room = 140 × 20 = 2,800 munites

35 rooms taking 28 minutes per room = 35 × 28 = 980 minutes

Total cleaning time = 2800 + 980 = 3780 minutes

converting to hours (1 hour = 60 minutes)

∴ 3780 minutes = 3780 ÷ 60 = 63 hours (2 days and 15 hours)

8 0

2 years ago

Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic

Charra [1.4K]

Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = $137*67013$

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = $25 * 71332$

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = $9180781+1783300$

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = $137 + 25 = 162$

So, the average salary of employee across the company = $\frac{10964081}{162}$

So, the average salary of employee across the company = 67679.5

Rounding off,

So, the average salary of employee across the company = $ 67680 : Answer

Hope it will help :)

7 0

2 years ago

Read 2 more answers

Frank and Gertrude mow lawns for extra money over the summer. Frank's income is determined by f(x) = 5x + 15, where x is the num

Nikitich [7]

Find h(x)
f(x)+g(x)=5x+15+4x+20=9x+35

ok so if gertrude works 4
f(x)=5x+15
f(4)=5(4)+15
f(4)=35

if we input 4 for x in f(x) to find how much made togethe rin 4 hours
h(4)=9x+35
h(4)=9(4)+35
h(4)=36+35
h(4)=71

split evenly?
71/2=35.5

frankalone=35 for 4 hours
frankwithgertrued=35.5 for 4 hours
slightly bettewr with gerturde

5 0

2 years ago

Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compou

AnnZ [28]

Answer:

3.590.04

Step-by-step explanation:

The formula given for total amount saved when compounding interest =

A = P(1 + r/n)^nt

Where

A = Total amount saved after t years

P = Principal or initial amount saved

r = Interest rate

n = compounding frequency

t = time in years

From the above question

P = 3000

r =6% = 0.06

n =compounded monthly = 12

t = 3 years

Hence,

A = 3000(1 + 0.06/12)^3 × 12

A = 3000(1 + 0.06/12)^36

A = 3,590.04

Therefore, the total amount Imran will have in his account after 3 years = 3,590.04

4 0

2 years ago

A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea

Levart [38]

Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.

8 0

2 years ago