Question

Two pipes can separately fill a tank in 3 hours and 2 hours respectively. If both the pipes are used together how much would they take to fill the tank.​

Answer 1

ANSWER :-

⇒They will take 5/6 hr.

SOLUTION :-

⇒ It's given that 2 pipes can separately fill a tank in 3 hrs and 2 hrs. We have to find how much time will they take to fill the tank.

PIPE A :

⇒ Pipe A can fill the tank in 1/3 hrs

PIPE B :

⇒ Pipe B can fill the tank in 1/2 hrs

ACCORDING TO THE QUESTION :

⇒  Pipe A + Pipe B = Time taken to fill the tank

⇒ ( 1/3 ) + ( 1/2 ) = Time taken to fill the tank

⇒ LCM of 2 and 3 is 6

⇒ ( 1*3+ 1*2 )/6 = Time taken to fill the blank

⇒ ( 3 + 2 )/6 = Time taken to fill the tank

⇒ 5/6 hrs = Time taken to fill the tank

Therefore, the 2 pipes would take 5/6 hr to fill the tank.