Two taps M and N can separately fill a cistern in 30 and 20 minutes respectively They started to fil...........

Quantitative Aptitude ( CCS) Pipes&cistern

Two taps M and N can separately fill a cistern in 30 and 20 minutes respectively. They started to fill a cistern together but tap A is turned off after few minutes and tap B fills the rest part of cistern in 5 minutes. After how many minutes was tap M turned-off?

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Explanation:

Let M was turned off after x min. Then, cistern filled by M in x min + cistern
filled by N in (x+5) min = 1 ⇒ x/30 + (x+5)/20 = 1 ⇒ 5x+15=60 ⇒ x = 9 min.