Jon recently drove to visit his parents who live 648 miles away. on his way there his average speed was 14 miles per hour faster than on his way home (he ran into some bad weather). if jon spent a total of 27 hours driving, find the two rates (in mph). round your answer to two decimal places, if needed.

56 mph ,42 mph

Explanation:

Given

Distance traveled by john on his way to parents house=648 miles

Let x be the speed during his return trip so during arrival its speed is x+14

Total distance=648+648=1296 miles

Total time=27 hours

27(x+14)(x)=648(2x+14)

x=42,-8

-8 is not possible so x=42 mph

arriving rate=42+14=56 mph

Return rate=42 mph

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