(a ) Let the filling capacity be x
m3/min.
So, the discharging capacity = (x + 10)
m3/min
Time taken to the tank =
mjn
and time taken to discharge the fuel from tank
=
min
Now, according to the given conditions
⇒
− = 16
⇒
| 4800x+48000−4800x |
| x(x+10) |
= 16
⇒ 48000 = 16 (
x2 + 10x)
⇒ 3000 =
x2 + 10x
⇒
x2 + 10x - 3000 = 0
⇒
x2 + 60x -50x - 3000 = 0
⇒ x(x + 60) - 50(x+ 60) = 0
⇒ (x - 50) (x + 60) = 0
⇒ x = 50, -60
∴ x = 50, because x cannot b e negative.
∴ Filling capacity of pump = 50 m3/min