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,

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need to see circuit to get time constant