A larger pipe can fill a tank in 32 minutes less than a smaller pipe. If they both are turned on, they can fill the tank in 30 minutes. How long does it take each pipe to fill the tank alone?
Let t be the time for smaller pipe
Then t-32 will be the time for larger pipe
In 1 minute both will fil 1/t+1/(t-32)
In 30 minutes it will be full
30 (1/t+1/(t-32)) =1
30 (t-32+t) = t(t-32)
30t -960+30t =t2-32t
t-12=0 is not admissible because t-32 will benegative
Smaller pipe will take 80 minutes to fill the full tank
Larger pipe will take 48 minutes to fill the full tank
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