How i got the Hard Badge:
Day 1 - Max out Engine+Fuel+Tires and buy second Trans (200), the propeller and one fuel for it. You should reach 730-750ft or so, if you safe your propeller to the end. Day 2 - Buy best Trans, the gun and put as much money as you have in the propeller fuel and the rest into bullets. As the day before, use the propeller in the end. You should reach about 850-900ft. Day 3 - Max out propeller (as much as possible) and put the rest into bullets. Safe the propeller to the end end use it at the 3rd slope of the hill in the end to boost yourself over the boxes.