Question

2. A water tank had three inlets, which
independently can fill the tank in 20, 40, 30
minutes, respectively. How much time does
it take to fill the tank when all work together?



Answer should be 120/13 min please explain

Answer 1

Answer:

Step-by-step explanation:

A=20

B=40

C=30

LCM of 20,40,30= 240L

A can fill in 1 hour = 240/20= 12L

B " "  " " " " " " " " " = 240/40 = 6L

C " " " " " "" " " "" "  = 240/30 = 8L

All work together

A+B+C = 26L in 1 hour

Time taken = 240/26 = 120/13 min.

Answer 2

It takes $\dfrac{120}{13}$ minutes to fill the tank when all work together.

Step-by-step explanation:

Since we have given that

Time taken by first water tank = 20 minutes

Time taken by second water tank = 40 minutes

Time taken by third water tank = 30 minutes

So, we need to find the time taken to fill the tank when all work together.

So, it becomes,

$\dfrac{1}{20}+\dfrac{1}{40}+\dfrac{1}{30}\\\\=\dfrac{6+3+4}{120}\\\\=\dfrac{13}{120}$

So, It takes $\dfrac{120}{13}$ minutes to fill the tank when all work together.

# learn more:

A water tank has 3 inlets. Inlet A alone can fill the tank in 30 minutes. Inlet B can fill it in 40 minutes Inlet C can fill it in 60 minutes. If all the 3 inlets are opened together, how long will it take to fill the tank?

https://brainly.in/question/5251975