Question

Hey its dare... are u brilliant so prove it by solving this que correct❤️❤️

If u r brilliant so u can..

Two taps A and B can together fill a tank in 15 days. Taps A and B are kept open for 12 days and then tap B is closed it takes another 8 days to fill a tank.
How many days does each tap require to fill a tank.

From lesson linear equation in two veriables. ​

Answer 1

HEYA ❤️

QUESTION:

two taps A and B together fill a swimming pool i 15 days . Tap A and B are kept open for 12 days and then tap B is closed . It takes another 8 days for the swimming pool to be filled. How many days each tap require to fill the swimming pool?

ANSWER :

24 days.

EXPLANATION :

----

Let A and B be the rates of the 2 taps.

----

Equation:

15A + 15B = 1 job

---

20A + 12B = 1 job

------

Multiply thru the top equation by 12

multiply thru the bottom equation by 15

-----

180A + 180B = 12

300A + 180B = 15

----

Subtract and solve for A

120A = 3

A = 1/40 job/day (A's rate)

A would take 40 days to fill the pool alone.

-----

Solve for "B"

20A + 12B = 1

1/2 + 12B = 1

12B = 1/2

B = 1/24 job/day (B's rate)

A would take 24 days to fill the pool alone.

HOPE IT HELPS ❤️❤️