Q.2 A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?
Answers
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The value of n is 2
Step-by-step explanation:
Pipe can fill a tank in 20 hours
Therefore, in one hour, the the part of the tank will be filled = 1/20
Similarly, in one hour the part of tank that can be emptied = 1/30
If there are x fill pipes and y drain pipes then
n = x+y
In one hour the portion filled
In 5 hours the tank is filled
Thus, in 5 hours, the portion filled = 1
x and y are both natural numbers here, for this y must be multiple of 3
If y = 3, x = 6
Thus, n = 9
If y = 6, x = 8
Thus, n = 14
If y = 9, x = 10
Thus, n = 19
If y = 12, x = 12
Thus, n = 24
If, y = 15, x = 14
Thus, n = 29
If y = 18, x = 16
Thus, n = 34
If there were options, the value of n would be 2
Hope this answer is helpful.
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