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

Rational exponents, what is rational exponents and give some examples?

what is rational exponents and give some examples?

Use synthetic division to divide equation, Use synthetic division to divide...

Use synthetic division to divide 5x 3 - x 2 + 6 by x - 4 . Solution Okay along with synthetic division we pretty much avoid all the x's and just work with the numbers in

Substitution method, Not every linear system along with three equations and...

Not every linear system along with three equations and three variables utilizes the elimination method exclusively therefore let's take a look at another instance where the substit

Quadratic Regression, Determine a quadratic regression function that repres...

Determine a quadratic regression function that represents the distance the ball will travel in terms of its speed when it is hit at a 40 degree angle.

Parabolas, how do you find the axis of symmetry on a parabola

how do you find the axis of symmetry on a parabola

Help please, Achieve $225,500 at 8.75% compounded continuously for 8 years,...

Achieve $225,500 at 8.75% compounded continuously for 8 years, 155 days

Integral probability , The integral arises in probability theory. ...

The integral arises in probability theory. (a) Consult the library or Internet to find how this integral relates to the calculationof a probability using the Normal dist

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