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Answer:

320 miles in 2.5 hours is 128 mph

at 128 mph, sam will travel 500 miles in 3 hours, 54 minutes, 23 seconds.

Answer:

Sam would take to drive 500 miles in 4 hours and 34 minutes at the same speed.

Step-by-step explanation:

It is easy to say that if Sam continues driving at the same speed it will take a little longer to drive the 500 miles.

If Sam drives 320 miles in 150 minutes (2.5 hours)

How long will it take to drive 500 miles at the same speed?

An equation called "rule of 3" can be applied:

320 miles = 150 minutes

500 miles = X?

X is cleared from the equation

X = (500 miles * 150 minutes) / 320 miles

X = 234.37 minutes

Now we spend 234.37 minutes at hours with the same rule of 3

1 hour = 60 minutes

 X = 234.37 minutes

Clearing X would give

X = (1 hour * 234.37 minutes) / 60 minutes

X = 4 hours and 34 minutes

Sam would take 500 miles in 4 hours and 34 minutes