Share

## Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 3 hours. Working alone, it takes the slower

Question

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?

in progress
0

Math
2 weeks
2021-09-09T10:45:08+00:00
2021-09-09T10:45:08+00:00 1 Answer
0
## Answers ( )

Answer:Faster worker takes 4 hours and slower worker takes 12 hours.Step-by-step explanation:Let

xbe thetime( in hours ) taken byfaster 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.