Symbiosis National Aptitude Test SNAP 2013 Paper

Capacity of tank = 2400 m3.
Let the emptying capacity of pump = xm3/min
then filling capacity of pump = (x – 10) m3/min.
then according to problem.

2400

x−10

−

2400

x

= 8
2400 x – 2400 (x – 10) = 8 (x) (x – 10)
⇒ 2400x – 2400x + 24000 = 8x2 – 80x
⇒ 8x2 – 80x – 24000 = 0
⇒ x2 – 10x – 3000 = 0
⇒ (x – 60) (x + 50) = 0
x = 60
x ≠ 50
Filling capacity of pump = 60 – 10 = 50 m3/min.