Question

Hi! I have a project on applications of rational equations. I've done 75% of the work, but need help walking through the problem I've created.

Answer 1

ok

Answer 2

I take twice as long as my sister does when studying for a chemistry exam. If we work together, we can finish studying in 2 hours. How long would I take on my own?

Answer 3

Procedure:
1. Write a word problem describing the time it takes to complete an activity individually
and with a friend. (just posted this part)

2. Write a rational equation based upon the word problem you created.

3. Solve the rational equation. Show your work.

Answer 4

@wio

Answer 5

Okay, I'm trying to do the 2nd part on my own.

Answer 6

1/x + 1/2x = 1/2

Answer 7

@wio Help me learn how to solve this?

Answer 8

I'm going to start by finding an LCD...multiply the first fraction by 2/2, the second stays the same, the third is multiplied by x/x.

Answer 9

2/2x + 1/2x = x/2x

Answer 10

2 + 1 = x
x = 3
It takes my sister 3 hours to study alone, but because I take twice as long, it takes me 6 hours.

Answer 11

Is all this okay?

Answer 12

This?\[
\frac1x + \frac1{2x}=\frac 12
\]

Answer 13

Yes. And everything past it looks good?

Answer 14

Yep.

Answer 15

In general, you can just multiply by the LCD and that is good enough.

Answer 16

Thank you :)

Answer 17

If I have another question in a few minutes, can you stick around?