× logo

The Free 30-Day CAT RC Course

"It is designed to help you excel in the upcoming CAT 2024 exam"

-By Lavleen Kaur Kapoor. Over 2,00,000+ Subscribers

read more

No thanks >

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

A
8 hrs
CORRECT ANSWER WRONG ANSWER
B
12 hrs
CORRECT ANSWER WRONG ANSWER
C
24 hrs
CORRECT ANSWER WRONG ANSWER
D
16 hrs
CORRECT ANSWER WRONG ANSWER
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