## CassiusDelaney 3 years ago Kaihi can eat 32 lollies in one hour. Her sister can eat the same amount in 3 hours Howlong will it take both girls to eat 32 lollies? Can you tell mehow to do it easily no straight up answers

1. Algebraic!

lollies. lol

2. Algebraic!

you there? @CassiusDelaney

3. CassiusDelaney

Yerrr i am now...

4. CassiusDelaney

So can anyone help??

5. Algebraic!

yeh sry...

6. Algebraic!

so rate * time... is amount...

7. Algebraic!

32 lollies (lol) per hour for kaihi and 32 per 3 hours for her sister...

8. Zekarias

Forget about the 32 lollies and consider it as one task to accomplish. Then to accomplish that task Kaihi (k) spent k hours and her sister (s) s hour. To accomplish the task together, let say, they spent x hours, Thus this must hold true:$\frac{ 1 }{ k }+\frac{ 1 }{ s }=\frac{ 1 }{ x }$$\frac{ 1 }{ 1 }+\frac{ 1 }{ 3 }=\frac{ 1 }{ x }$ soving for x you will get $x =\frac{ 3 }{ 4 }hr$

9. Algebraic!

so 32*t + 32*t/3 = 32 lollies

10. Zekarias

Did you get it?

11. CassiusDelaney

nahhh sorry is there a easyer way or the fractions work just need to no how you found the answers

12. Zekarias

1/k of the task is completed by K 1/s of the task completed by S 1/x of the task completed by both.

13. CassiusDelaney

how did you get the denominator?

14. estudier

Maybe a little simpler: Kaihi 96 in 3 hours Sister 32 in 3 hours Together 128 in 3hours and now you want That's for 128 lollies and u want 32 so 3 hours * 32/128 = 96/128 = 3/4 hour

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