Question

 Three taps can fill a tank in .10,minutes, 15 minutes and 18 minutes respectively. The tank being empty, all the three taps are kept open and after 3
minutes, the third tap is closed. In how many minutes will the tank be full ?​

Answer 1

Answer:

Let the time taken to fill the tank be x minutes.

Tap A can fill the tank in 10 minutes.

⇒x/10 [time it was on]

Tap B can fill the tank in 15 minutes.

⇒ x/15 [time it was on]

Tap C can fill the tap in 18 minutes.

⇒ 3/18 [time it was on]

⇒ x/10 + x/15 + 3/18 = 1

LCM = 90

9x + 6x + 15/90 = 1

15x + 15 = 90

15x = 90 - 15

15x = 75

x = 5

The tank will fill in 5 mins

Hope it helps

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