Assuming laps means two lengths (there and back in a lane):
1yd = 0.9144m
20yd = 18.288m
2 lengths = 36.576m
1km = 1000m
= 1000m / 36.576m
~= 27.34 laps
(just over 54 2/3 lengths)
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There are 1609 meters to 1 mi. Thus it would be 80.45 lenghts (one-way in the pool) or 40.225 laps (round trip).
You must swim 80 legnths of a 20 metre pool to swim a mile because 1 mile is 1600 metres. You must swim 80 legnths of a 20 metre pool to swim a mile because 1 mile is 1600 metres.
Each lap in a pool is 25 meters. There are 1600 meters in a mile. 25m x 20 laps = 500 meters. You would need to swim 64 laps to make a mile. Therefore 20 laps is 0.31 miles.