Example of work- rate problems, Algebra

Assignment Help:

An office contains two envelope stuffing machines. Machine A can stuff a batch of envelopes within 5 hours, whereas Machine B can stuff batch of envelopes within 3 hours. How much time it take the two machines working together to stuff a batch of envelopes?

Solution

Let t is the time that it takes both of machines, working together, to stuff batch of envelopes. The word equation for problem is following,

1136_Example of Work- rate problems.png

However we know that the time spent working is t we don't know about the work rate of each machine. In order to get these we'll have to use the initial information given about how much time it takes each machine to do the job independently.  We can employ the following equation to get these rates.

1749_Example of Work- rate problems1.png

Let's begin with Machine A.

1 Job= ( Work Rate of A ) × (5) ⇒     Work Rate of A = 1/5

Now, Machine B.

1 Job = ( Work Rate of B) × (3)   ⇒   Work Rate of B = 1/3

Plugging these quantities in the main equation gives the following equation which we have to solve.

1/5 t +1/3 t = 1                                    Multiplying by 15 through both sides

3t + 5t = 15

8t = 15

t = 15/8 = 1.875 hours

Thus, it looks as it will take two machines, working together, 1.875 hours to stuff batch of envelopes.


Related Discussions:- Example of work- rate problems

Multiplying and dividing rational expressions, Step by step help on how to ...

Step by step help on how to solve p to the second power plus 2p-8 over p to the second power-2p+1 multiplied by p-1 over p-2

Rational expressions, I am looking the domain of g^2-6g-55/g. The denominat...

I am looking the domain of g^2-6g-55/g. The denominator here can be also be written as 1g, right?

Solving quadratics equations by factoring, the parking lot will have an are...

the parking lot will have an area of 160 square meters.The shorter base is 4m longer than the height of the trapezoid,and the longer base is 8m longer than the height.What is the l

Apply linear algebra using extended abstract thinking, Hi everyone, needing...

Hi everyone, needing help with these math questions. Please include your workings out so I can understand how you got your answers,thanks! INTRO: Three friends have been training

Hcf, how to find hcf easily

how to find hcf easily

Age problems, the sum of four consecutive even integers is 2 more than five...

the sum of four consecutive even integers is 2 more than five times the first integer.find the smallest integer

Solve out the given system, Solve out the following system of equations by ...

Solve out the following system of equations by using augmented matrices. 3x - 3 y - 6 z = -3 2x - 2 y - 4 z = -2 -2x + 3 y + z = 7 Solution Notice that this system

Algebraic vocab, the words and definitions to study please :)

the words and definitions to study please :)

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd