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.

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step-by-step explanation:

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