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### Ben Evans says

At 10:30 AM Carter had traveled 25 miles.

So 50t+25=55T

Let me quickly explain this. At 10:30 both people are traveling. The time that each person has traveled after 10:30 is the same.

Each equation gives the distance traveled from Pittsburgh. Both are equal when they have traveled the same distance.

Lets solve it.

5T=25

T= 5 hours

The distance equals 25(5) miles=275 miles.