word problem help please?

Question

Barn painting- Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they completed in one day by working togeather. Evaluate the expression for x=5
any clues on how to do this

Answer 1

[11]
Melaine can do the job in x days
Therefore in 1 day,she does 1/x part of the job
Similarly Melissa can do,working by herself,1/2x part of the job in 1 day
If they work together they can do
1/x +1/2x
=3/2x part of the job
If x=5.their combined work in 1 day would be 3/2*5 or 3/10 part of the job

Answer 2

1/x = Melanie's speed, 1/2x = Melissa's speed

What they could complete working together in a day:
= 1/x + 1/2x
= 2/2x + 1/2x
= 3/2x

Answer: Melanie could finish a job in 2 days while Melissa in 4 days.

Working together this is the fractional part of the job they could finish in a day.
= 1/2 + 1/4
= 3/4

Answer 3

Melanie takes x days to complete paint the barn. so 1 barn for x days or 1:x or 1/x
Melissa takes 2x days to complete paint the barn. so 1/2x
so, as they work together,
1/x + 1/2x = 3/2x

then substitute x=5,
3/10

Answer 4

1/x + 1/2x = amount done in 1 day working together
This can be added using common denominators
2/2x + 1/2x = 3/2x
When x = 5, this is 2/10 + 1/10 = 3/10 done in 1 day
So it takes 10/3 days or 3 days 8 hours to do the job working together

Answer 5

Hello,

let x = Melanie's time alone

so 1/x + 1/(2x) = amount done in 1 day together = 3/(2x)

so 1/5 + 1/(10) = 3/10

Hope This Helps!

Answer 6

Go rent Little Big League... the answer lies within.