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Directions for Question: A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.
Q. How many minutes will it take to fill the tank if all the 23 pipes are opened at the same time?
  • a)
    5 minutes
  • b)
    minutes
  • c)
    6 minutes
  • d)
    minutes
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions for Question: A set of 10 pipes (set X) can fill 70% of a t...
If all the 23 pipes are opened the per minute rate will be ;
     ► 10 + 12 .5 - 5 = 17 .5% 
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Most Upvoted Answer
Directions for Question: A set of 10 pipes (set X) can fill 70% of a t...
It is given that pipes of set x can fill 70% of the tank in 7 min.

set x = 70/100 th in 7 min
It means that, 1/10 th tank is filled in 1 min.

Similarly,

It is given that pipes of set y can fill 3/8 th of the tank in 3 min.

So, we write as,

set y = 3/8 th of tank in 3 min
It means that, 1/8 th tank is filled in 1 min.

And, pipes of the set z can empty 5/10 th of the tank in 10 min.

set z = 5/10 th in 10 min
Therefore, 1/20 th tank is emptied in 1 min.

So, we consider all three sets for one minute. Then,

1/10 + 1/8 - 1/20 = 7/40 th tank is filled in one minute.

Thus, the time required to fill the tank completely = 40/7 minutes
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Directions for Question: A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.How many minutes will it take to fill the tank if all the 23 pipes are opened at the same time?a)5 minutesb)minutesc)6 minutesd)minutesCorrect answer is option 'B'. Can you explain this answer?
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