Swim Backstroke Fast
While backstroke maintains the body in a streamlined position, with the limbs able to apply constant propulsive forces due to the arms alternating action and the continuous flutter action of the legs, it is not as fast or efficient as freestyle. Backstroke is swum with arms out to the side of the body, meaning a swimmer cannot pull directly under their body, resulting in not reaching full potential power.
To swim backstroke fast you need to start with the correct technique. The following article written by Garly Barclay on Backstroke Technique is well worth reading.