Reckless speed is a term used to describe driving at an excessive speed, often in disregard of the safety of others. The two crossword solutions for this term are 'HASTE' and 'RUSH', both of which refer to the act of moving quickly or with urgency. HASTE is defined as 'the quality of being hasty; hurriedness; rashness; precipitancy, ' while RUSH is defined as 'to move with great speed; to hurry.' Both words can be used to describe reckless speed.