New All India SEBI Grade A Scholarship Test on June 11, 2023
Register

Question

A tank is filled by 3 pipes, second pipe take 10 hours more than first pipe and 10 hours less than third pipe to fill the tank alone. If second and third pipe together take 2 hour more than first pipe to fill the tank then find out how much time second pipe will take to fill the tank alone?

A 20 hours Correct Answer Incorrect Answer
B 10 hours Correct Answer Incorrect Answer
C 5 hours Correct Answer Incorrect Answer
D 6 hours Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let the second pipe can fill tank in x hours So, first pipe fill tank in (x-10) hours and Third pipe fill tank in (x + 10) hours According to the question, Second pipe and third pipe together take 2 hour more time to fill the tank from first pipe. So time taken by second pipe third pipe together = (x – 10 + 2) hours = (x – 8) hours 1/x + 1/(x +10) = 1/(x -8) (x +10 + x )/(x^2+ 10 x) = 1/(x - 8) (x – 8) (2x + 10) = x^2+ 10x 2x^2+ 10x - 16x – 80 = x^2+ 10x x^2- 16x – 80 = 0 x^2- 20x + 4x – 80 = 0 x (x – 20) + 4(x – 20) = 0 (x – 20) (x + 4) = 0 x = - 4, 20 So second pipe can fill the tank in 20 hours alone.

Download PDF Practice Next

Relevant for Exams:

×
×