(a) Part of tank filled by pipe A in 1 h = 1 /30 Part of tank filled by pipe B in 1 h = 1/45 Then, part of tank filled in 2 h when one pipe is opened at a time =
1
30
+
1
45
=
3+2
90
=
5
90
=
1
18
Now, let the tank takes x h to get filled. Then,
1
18
×x = 1 x = 18 h Also,
1
18
part is filled in 2 h ∴Tank is filled in 2x h = 2 × 18 = 36 h