Three taps A, B and C together can completely fill a tank in 30 minutes. B and C together can fill the same tank in 45 minutes. In how much time (in minutes) A alone can fill the tank?
1). 120
2). 90
3). 150
4). 80
(A + B + C) can fill a tank in = 30 min
∴ In 1 hour (A + B + C) can fill = 1/30
(B + C) can fill a tank in = 45 min
∴ In 1 hour (B + C) can fill = 1/45
∴ In 1 hour A can fill,
$(\Rightarrow \frac{1}{{30}} - \frac{1}{{45}})$
$(\Rightarrow \frac{{3 - 2}}{{90}})$
⇒ 1/90
∴ A can fill the tank in = 90 hours