Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 3 hours. working alone, it takes the slower worker 8 hours longer to do the job than the faster worker. how long does it take each to do the job alone?

Faster worker takes 4 hours and slower worker takes 12 hours.

Step-by-step explanation:

Let x be the time ( in hours ) taken by faster worker,

So, according to the question,

Time taken by slower worker = (x+8) hours,

Thus, the one day work of faster worker =

Also, the one day work of slower worker =

So, the total one day work when they work together =

Given,

They take 3 hours in working together,

So, their combined one day work =

 ( Adding fractions )

   ( Cross multiplication )

      ( Distributive property )

         ( Subtraction property of equality )

By quadratic formula,

Since, hours can not negative,

Hence, time taken by faster worker = x hours = 4 hours,

And, the time taken by slower worker = x + 8 = 12 hours.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.