Question

a water tank has 3 inlets , inlets A alone can fill the tank in 30 min inlet B can fill it in 40 min inlet C can fill it in 60 min if all the 3 inlets are opened together , how long will it take to fill the tank​ answer please

Answer 1

Answer:

`13.33

Step-by-step explanation:

A alone can fill the tank in 30 minutes.

A's 1 hour work = 1/30

B can fill it in 40 minutes

B's 1 hour work = 1/40

C can fill it in 60 minutes.

C's 1 hour work = 1/60

They work together in 1 hour = 1/30+1/40+1/50

                                                =   3/40

If they work together it will take time to fill the tank=   40/3= 13.33

Hence it will take 13.3 minutes to fill the tank if they work together

Answer 2

Step-by-step explanation:

Let the Tank to be Filled be : T

Given that A Inlet alone can fill the Tank in 30 mins

⇒ In One Minute A Inlet fills T/30 of the Tank

Given that B Inlet alone can fill the Tank in 40 mins

⇒ In One Minute B Inlet fills T/40 of the Tank

Given that C Inlet alone can fill the Tank in 60 mins

⇒ In One Minute C Inlet fills T/60 of the Tank

⇒ In One Minute A - B - C inlets Fill : T/30 + T/40 + T/60

⇒ T/30 + T/40 + T/60 = (4T + 3T + 2T)/120 = 9T/120 = 3T/40

⇒ In One Minute A - B - C inlets Fill : 3T/40

⇒ In 40/3 Minutes A - B - C inlets Fill : 3T/40 × 40/3

⇒ In 40/3 Minutes A - B - C inlets Fill the Tank 'T'

⇒ 40/3 = 13 + 1/3 = 13 minutes and 60/3 seconds

⇒ 40/3 = 13 Minutes and 20 seconds

⇒ The A - B - C inlets Together fill the Tank in 13 Minutes and 20 seconds