Two people together can do a certain job in twenty minutes.If one of them can do the job alone in forty-five minutes, how long will the other person take to do the job alone?

Answers

Answer 1
Answer:

36 minutes

Step-by-step explanation:

Going through the question in bits:

i. Two people together can do a certain job in 20 minutes.

This implies that the time taken to finish the job is 20 minutes.

This also means that in 1 minute, they will do [tex]\frac{1}{20}[/tex] of the job i.e the rate at which the job is done by the two of them is [tex]\frac{1}{20}[/tex]

ii. If one of them can do the job in 45 minutes.

This implies that the time taken by one of them to finish the job is 45 minutes.

This also means that in 1 minute, he will do [tex]\frac{1}{45}[/tex]  of the job. i.e the rate at which the job is done by one of them is [tex]\frac{1}{45}[/tex]

iii. let the other person do the job in x minutes.

This implies that the time take by the other person to finish the job is x minutes.

This also means that in 1 minute, he will do [tex]\frac{1}{x}[/tex] of the job. i.e the rate at which the job is done by the other person is [tex]\frac{1}{x}[/tex]

Now,

The rate by which the job will be done by the two of them combined is the sum of the individual rates.

i.e

[tex]\frac{1}{20}[/tex] = [tex]\frac{1}{45}[/tex] + [tex]\frac{1}{x}[/tex]

Multiply through by 90x and solve

(90x * [tex]\frac{1}{20}[/tex]) = (90x *  [tex]\frac{1}{45}[/tex]) + (90x *  [tex]\frac{1}{x}[/tex])

4.5x  = 2x + 90

4.5x - 2x = 90

2.5x = 90

x = [tex]\frac{90}{2.5}[/tex]

x = 36

Therefore it will take the other person 36 minutes to finish the job.


Related Questions

Can someone please help me with this

Answers

Answer:

I believe your answer would be -1

Step-by-step explanation:

The answer should be -1

Work out the surface area of this solid prism.
8m
5m
3m
4m

Answers

480 m I am guessing,.....

which expression can he used to find the surface area of the following sqare pyramid​

Answers

Answer:

answer: A

Because when doing area for triangles its

base × height ÷ 2 so for 1 triangle it would be 5 × 4 = 20 then ÷ by 2 so 20 ÷ 2 = 10 Since there are 4 triangles we will have to add 10 4 times and then for the square it's easily just 4 × 4 = 16

so it would come out to 16 + 10 + 10 + 10 + 10 =

for the data set shown in the scatterplot what is the best approximation of the slope for the line of best fit a. 5 b. 10 c. 15 D. 20

Answers

where’s the data set?

hey guys please i really need help and no links or u will get reported give me the correct answer please

Answers

Answer:

a is the corect answer

Step-by-step explanation:

20-9x+4y+7-x
Need help

Answers

Answer:

[tex]-10x + 4 y + 27[/tex]

Step-by-step explanation:

Answer: -10x+4y+27

Step-by-step explanation: first, combine the like terms

20 + 7= 27

-9x-x=-10x

4y stays the same so, if simplified this equals

-10x+2y+27

hii! please help asap. i’ll give brainliest

Answers

Answer:

Its the last one letter D.

Answer:

It's D.

Step-by-step explanation:

Hope this helped. :D

It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?

Answers

Answer:

969 hours

Step-by-step explanation:

57x17=969. It would take them 969 hours.

Kylie spent $13.80 to buy 30 popsicles for her classmates. How much did each popsicle
cost?

Answers

Answer:

0.46

Step-by-step explanation:

13.80/0.46

just divide

if you divide 30 by 13.80 you should get $2.17

True or false the median is always a number that is part of the data set?

Answers

Answer: Mostly. The middle number of the data is the median (set should be in order). If there are more than one middle numbers, then they are not the median but the average of those numbers are the median.

This is not necassary that average is always present in the listed information.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

With a data set there are multiple number and always a middle whether or not its 2 numbers or 15. theres always a median.  

A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.

Answers

Answer:

Surface Area of right cone  

               =[tex]\pi r(r+\sqrt{h^2 + r^2}[/tex]

[tex]440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\[/tex]

[tex]\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227} = 10.96in[/tex]

What expression is equivalent to m(n+p)

Answers

Answer:

mn + mp

Step-by-step explanation:

m(n + p) =

m(n) + m(p) =

mn + mp

Hope that helps! :)

-Aphrodite

The equivalent expression for the algebra m(n+p) is mn + mp.

What are equivalent expressions?

Equivalent expressions are similar expressions that when being solved provide the same solution. Equivalent expressions are used widely in the expansion of algebraic equations.

From the given information, we have:

=  m(n + p)

To determine the equivalent expression for the above algebraic equation, we need to expand the bracket as follows:

= m(n) + m(p)

= mn + mp

Learn more about equivalent expression here:

https://brainly.com/question/24734894

Malik got a 200 cafe gift on January 1. He always orders decaf mochas which cost 5 each. At the end of January, maliks gift card has 125 left. Write an equation with x as your variable.

Answers

Answer:

200 - 5x = 125

Step-by-step explanation:

Let the number of orders made by Malik in the month of January = x

Each order costs = $5

Total cost of decaf mochas in one order = $5x

Malik had cake gift on 1st of January = $200

Amount of money left with Malik at the end of January = $125

Therefore, equation representing this situation will be,

200 - 5x = 125

Pls answer and no links pls

Answers

Answer:

Step-by-step explanation:

She used 16 pints and i am 100% positive this answer is correct

How do you find the mean, median, mode, and range of a set of numbers?

Answers

Answer:

You find the mean by adding all the numbers together then divide the sum of that by the amount of numbers there are. You find the median by looking at the middle number. You find the mode by looking at the most used number. You find the range by subtracting the highest and lowest numbers.

Step-by-step explanation:

say you have these numbers ( 8, 7, 17, 12, 0, 9, 11, 5, 8)

Mean:

8 + 7 + 12 + 17 + 0 + 9 + 11 + 5 + 8 = 77

77 ÷ 9 = 8.5

Median: 0

Mode: 8

Range: 17 - 0 = 17

Answer:

median is the middle number

but if the are two numbers in middle u add those two n divide by 2

range is the biggest number subtract lowest number

mean is total average divide by the number of data

mode is the number that appears many times

Help solve this please and thank you :-)

Answers

Answer:

-22

-14

6

10

18

Step-by-step explanation:

just plug in the x on the equation

tom travels at an average speed 36mph for 2 hours 20 min find the total distance tom travels

Answers

Answer:

79.2 miles

Step-by-step explanation:

Jersey village population in 1950 was 10,173. The population increases by 8.9% every 10 years. Predict the population in 2020

Answers

Answer:

Future Value= 18,478 people

Step-by-step explanation:

eGiving the following information:

Present value (PV)= 10,173

Growth rate (g)= 0.089 every 10 years

Number of periods (n)= 7

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1 + g)^n

FV= 10,173*(1.089^7)

FV= 18,478 people

Mrs. Roberts sewed m shirts using 2 yards of cloth for each shirt. She also sewed (m+2) dresses, using 5 yards of cloth for each dress. A) How much cloth did she use altogether? Give your answer in terms of m. B) If m= 7, find how much more cloth she used to sew the dresses than the shirts.

Answers

Answer:

7m + 10

31 yards

Step-by-step explanation:

Shirts :

Number of shirts sewed = m

Yards of cloth used per shirt = 2 yards

Number of dresses sewed = m + 2

Yards of cloth used per dress = 5 yards

Cloth used altogether :

Cloths used for shirt = 2 * m = 2m

Cloth used for dress = 5 * (m+2) = 5m + 10

2m + (5m + 10) = 7m + 10

If m = 7

Cloth used for dress - Cloth used for shirt

(5(7) + 10) - (2(7))

(35+10) - 14

45 - 14 = 31 yards

Find the volume of the solid. NO LINKS PLEASE HELP

Answers

Answer:

Use multiplication (V = l x w x h) to find the volume of a solid figure.

Step-by-step explanation:

Hey guys do any of you guys know the answer to this? I’m struggling with it and I still don’t know the answer plz help me! Thanks!

Answers

Answer:

steps below

Step-by-step explanation:

DE/WX = 15/35 = 3/7

DF/WY = 24/56 = 3/7

EF/XY = 18/42 = 3/7

ΔDEF similar to ΔWXY   (sss) : 3 corresponding sides are in the same ratio

Plss help!!!!! Ty!

What is the area of this semicircle?

Answers

Area of a circle is pi (r)^2
So area of semi circle is 1/2 pi (r)^2
Then area =32 pi or ~100.53

Answer:

[tex]{\small{\boxed{\sf{\red{here's \: your \: solution...}}}}} \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =\pi \: r {}^{2} { \div 2} {} }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{radius = 8cm }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =(22/7 \times 64) \div 2}}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =100.57 \: cm {}^{2} }}}}}[/tex]

[tex]\small\mathfrak\green{Hope \: it \: helps \: \: .......| }[/tex]

A number cube has sides labeled 1 to 6. Hannah rolls the number cube 18 times. What is the probability of rolling a number less than 3? ​

Answers

Answer:

1/3

Step-by-step explanation:

hope this helps!

What is the largest number that divides 42 and 90​

Answers

6 is the largest number that divides 42 and 90

Please help with this Algebra II question.

Answers

Answer:

omg im doing alg 2 next year. that looks so complicated im gunna scream

Step-by-step explanation:

(12 points) help pls it’s sue today ;-;

Answers

Answer:

$65

Step-by-step explanation:

x is the number of items sold, and y is the profit, so we need to calculate

y = 35x - 250

where x=9

y = 35*9 - 250 = 315 - 250 = 65

So the total profit is 65 dollars

The trapezoid shown above has an area of 21.66 square inches.

What is the total area of the shaded sections of the trapezoid?

A. 2.09 square inches
B. 4.18 square inches
C. 4.86 square inches
D. 8.74 square inches

Answers

Answer:

2.09 for only one triangle.

4.18 for two triangles.

Step-by-step explanation:

Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.

Have a great day!

Please help!
6. What is the area of the shaded region created by segment BC? work. (Look closely at the picturell The 85° is only labeling the right side of the angle, NOT the whole thing) Show your work​

Answers

Answer:

13.88 square cm

Step-by-step explanation:

had it on my test :)

The area of the shaded region created by segment BC is: 13.88 cm²

What is the area of circle circumscribing a  triangle?

An imaginary tangent line stretching from the triangle's two sides plus a section of the curve that is tangent to one side create this combination. The formula for the radius of a circle enclosing a triangle is

r = ABC / 4A.

Solution:

area of sector ABC = 85/360 × π × (7.3)² cm²

                              = 39.53 cm²

area of triangle ABC = 1/2 × 9 × 5.7 cm²

                                = 25.65 cm²

area of shaded region = area of sectot ABC ₋ area of triangle ABC

                                   = 39.53 ₋ 25.65

                                   = 13.88 cm²

Hence the area of shaded region is 13.88 cm²

Learn more about Circles here-

brainly.com/question/24375372

#SPJ2

Please help. I just need to get this done lol.

Answers

Answer:

1/16

Step-by-step explanation:

Evaluate the expression

Answers

22 I think I’m so sorryrrrr

Answer:

9+6(2)2+4

15(4)+4

60+4

64

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