Jessie recently drove to visit her parents who live 480 miles away. On her way there her average speed was 9 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 24 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.

The answer to the question is

36 mph on her way home and 45 mph on her way to visit her parents

Step-by-step explanation:

Total time for driving = 24 hours

Distance covered = 480 miles × 2

Speed of Jessie on her way home = x mph

Speed of Jessie on her way to visit her parents = x+9 mph

Therefore since speed = distance/time then we have

480/x + 480/(x+9) = 24

which gives we cross  multply and we have

24x²-744x-4320 = 0 which gives

(x+5)(x-36)×24 = 0 This means that her speed on her way home is either -5 mph (which is in reverse direction) or or 36 mph

Therefore her speed is 36 mph on her way home and 36+9 or 45 mph on her way to her parents

step-by-step explanation:

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