Question
Pipe A can fill a tank in 12 hours. When it works along with Pipe B, it can fill the tank in 8 hours. In how many hours can pipe B fill the same tank independently?
CAT 2021
Solution
Correct option is
(C)
Explanatory Answer :
Pipe A can fill a tank in 12 hours.
=> pipe A can fill tank in 1 hr = 1/12
Let say Pipe B can fill Tank in B Hrs
Then Pipe B can fill tank in 1 hrs = 1/B
Pipe A & B together can fill tank in 8 hrs
=> Pipe A & B together can fill in 1 hr = 1/8
1/12 + 1/B = 1/8
multiplying by 24 on both sides
=> 2 + 24/B = 3
=> 24/B = 1
=> B = 24