## timia618 2 years ago Pump 1 can empty a pool in 9 hours while Pump 2 can empty the same pool in 12 hours. If the two pumps worked together, how long would it take them to empty the pool?

1. timia618

Solve the following inequality: 2x + 6 ≤ 5x - 9

2. estudier

Pump 1 does 1/9 per hour and Pump 2 does 1/12 per hour

3. timia618

how many hours then together?

4. estudier

Work out how much the two are doing per hour together and u can easily get your answer...

5. timia618

6. Algebraic!

$\frac{ 1pool }{ 9 hours }*T hours + \frac{ 1pool }{ 12 hours}*Thours = 1 pool$ t/9 + t/12 =1

7. Algebraic!

solve for t

8. timia618

5 hours?

9. Algebraic!

you solved for t and got t=5?

10. timia618

idk

11. timia618

how do i get the t?

12. Algebraic!

multiply the whole equation by (9*12)

13. timia618

108

14. Algebraic!

yes, multiply the whole equation by 108

15. Algebraic!

it will be easier for you if you leave 108 as 9*12 , but do it however you like...

16. timia618

so the answerr is 5hr and 30mns

17. Algebraic!

what did you get for t?

18. timia618

A plane traveling from Dallas to New York with a tailwind of 30 miles per hour takes 4.5 hours. Returning with the headwind, it takes the same plane 5 hours. What is the average speed of the plane in calm conditions? A plane traveling from Dallas to New York with a tailwind of 30 miles per hour takes 4.5 hours. Returning with the headwind, it takes the same plane 5 hours. What is the average speed of the plane in calm conditions?

19. satellite73

go right to the answer, no agony $\frac{9\times 12}{9+12}$

20. timia618

so its 9

21. satellite73

i seriously doubt $\frac{9\times 12}{9+12}=9$

22. timia618

i got 5.1428567143

23. timia618