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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?

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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


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Answered by on | Votes 0 |

(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

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