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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: Pipe Q can fill the tank in 20 hours while pipe R alone can fill the tank in 30 hours and pipe T can empty the tank in 15 hours. Pipe Q and R open till 3/4th tank is filled after that all three are opened. In what time the tank gets completely filled? Quantity II: 0.5 days

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: Pipe Q can fill the tank in 20 hours while pipe R alone can fill the tank in 30 hours and pipe T can empty the tank in 15 hours. Pipe Q and R open till 3/4th tank is filled after that all three are opened. In what time the tank gets completely filled? Quantity II: 0.5 days Correct Answer <span lang="EN-US" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity I &gt; Quantity II</span>

Quantity I:

Pipe Q's 1 hour's work = 1/20

Pipe R's 1 hour's work = 1/30

Pipe T's 1 hour's work = 1/15

Pipe (Q + R) 1 hours work = 1/20 + 1/30 = 1/12

Time is taken by pipe Q and R to fill the 3/4th tank = ¾ × 12 = 9 hours

Pipe (Q + R + T)’s 1 hours work = 1/20 + 1/30 – 1/15 = 1/60 hours.

Time taken by all three pipes to fill 1/4th tank = ¼ × 60 = 15 hours

Total time required to fill the tank = 9 + 15 = 24 hours = 1 day

Quantity II: 0.5 days

So, we can observe Quantity I >Quantity II.

Related Questions

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