Given: Reservoir is filled by 3 inlets X, Y and Z = 10 hours.
Inlet X is twice as fast as Y
And Y is thrice as fast as Z
Calculation: Let inlet Z alone take ‘a’ hours to fill the tank.
Z = a hours
Y take time to fill a reservoir =
hours
X take time to fill a reservoir =
() ×
() =
hours
Reservoir filled in 1 hour =
⇒
() +
() +
() =
() ⇒
=
⇒ a = 100 hours
Z take 100 hours to fill a reservoir
Y take 33
hours to fill a reservoir.X takes 16
hours to fill a reservoir.