- Question: 3 of 20 АР Two pipes M and N can fill a tank in 52 and 78 minutes respectively. Both the pipes are opened together, after how many minutes should pipe N be turned off so that the cistern is filled in 39 minutes?
Answers
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Given :- Two pipes M and N can fill a tank in 52 and 78 minutes respectively. Both the pipes are opened together, after how many minutes should pipe N be turned off so that the cistern is filled in 39 minutes ?
Solution :-
→ LCM of 52 and 78 = 156 litre = Let capacity of tank .
so,
→ Efficiency of tank M = Capacity / Time taken = 156/52 = 3 litre / min.
and,
→ Efficiency of tank N = Capacity / Time taken = 156/78 = 2 litre / min.
then,
→ Efficiency of both = 3 + 2 = 5 litre / min .
Now, let both the pipes are opened together for x minutes .
A/q,
→ x * 5 + (39 - x) * 3 = 156
→ 5x - 3x = 156 - 117
→ 2x = 39
→ x = 19.5 minutes (Ans.)
Hence, pipe N should be turned off after 19.5 minutes .
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