You can add both speeds of the car and bullet together. The bullet moves faster if you aren’t in the car or on the horse.
Since the driver and the bullet are both moving in the same direction, they are slower relative to themselves.
Imagine two planes going side by side. You can see your friend in the other plane. You aren’t moving forwards or backwards, but you’re both going hundreds of miles per hour, but relative to each other, you’re stationary, going 0 miles per hour. Your mom on the ground sees your plane going the hundreds of miles per hour. If she walks away from you, you’re essentially going faster relative to her.
Let me know if that helped.
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