1.

Three taps A, B and C can fill a tank in 20, 45 and 36 hours respectively. If all the taps are opened together, then in how many hours will the tank be filled? 1). 62). 103). 124). 15

Answer»

A can fill a tank in = 20 HOURS

∴ In 1 hour A can fill = 1/20

B can fill a tank in = 45 hours

∴ In 1 hour B can fill = 1/45

C can fill a tank in = 36 hours

∴ In 1 hour C can fill = 1/36

Let, they together can fill the tank in = x hours

According to PROBLEM,

$( \Rightarrow \frac{x}{{20}} + \frac{x}{{45}} + \frac{x}{{36}} = 1)$

$( \Rightarrow \frac{{9x + 4x + 5x}}{{180}} = 1)$

⇒ 18x = 180

⇒ x = 10

∴ If all the taps are OPENED together the tank will be FILLED in = 10 hours



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