There are 2 ways to make a car go faster uphill: driving technique and engine boosting. Here are some suggestions for both cases.
Steps
Step 1. Modify the engine to improve performance
You could change the air filter, spark plug, cables, and if you have a pre-1980 car you could change the carburetor, spark plug, and valves.
Step 2. Check the pressure of the wheels
This may not help much, but adjusting the wheel pressure towards the maximum limit helps to have less drag on the road and therefore better performance.
Step 3. Increase the horsepower if you want to get more speed and if you have a lot of money available
Step 4. Install a lower torque differential
A differential with a torque of 411 will give more power to the wheels than a 243. However, consider the consumption of gasoline, as the number of wheel revolutions will increase and therefore the engine will spin faster to maintain a normal driving speed.
Step 5. Remove the unnecessary weight from the car
Look in the trunk, behind the seats, and other places where there may be unnecessary items. The new car models are built with lighter materials that serve to improve fuel consumption. More drastic ways to reduce weight are: buy the smallest battery available, reduce the amount of gas in the tank, leave the spare wheel at home, remove any other accessories you don't use.
Step 6. Turn off the air conditioning
Air conditioning consumes a lot of engine energy.
Step 7. Drive the car at high rpm and horsepower
Shift down a gear when you feel the engine is losing power. You have to keep the engine at high revs if you want to go faster. This is easy to do by looking at the speedometer, but you can also do it by listening to the engine noise. Automatic transmissions will automatically downshift, but driving for a long time at high revs can overheat the transmission fluid, so don't overdo it.
Step 8. Accelerate as you approach the hill
Truck drivers are used to accelerating before an uphill climb to avoid having to downshift on an incline.