Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?
Three taps A, B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it?
[A]40 minutes
[B]32 minutes
[C]16 minutes
[D]24 minutes
24 minutes
Part of the cistern filled by taps A, B and C in 1 minutes =
Part of the cistern filled by taps A and B in 1 minutes =
∴ Part of the cistern filled by tap C in 1 minute =
∴ Tap C will fill the cistern in 24 minutes.
Hence option [D] is the right answer.
