Greg drove at a constant speed in a rainstorm for 287 miles. he took a break, and the rain stopped. he then drove 102 miles at a speed that was 10 miles per hour faster than his previous speed. If he drove for 9 hours, find the car's speed for each part of the trip

38.22mph and 48.22mph

Explanation:

We first find Greg's average speed as follows. The average speed of a body is defined as the ratio of the total distance travelled by the body to the total time spent.

Total time spent, t = 9 hours

Total distance travelled, s = 287 + 102

s = 389 miles.

Hence the average speed is given thus;

Let the speed for the first part of his journey be u and that for the last part be v, his average speed can also be expressed as follows;

Hence;

As stated in the problem, his speed for the final part of the journey was 10mph faster, therefore;

By substituting (3) into (2), we obtain the following;

Hence,

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.