Answer:
Hence Distance traveled at speed 115 mph is <u>345 miles</u> and Distance traveled at speed 105 mph is <u>210 miles</u>.
Step-by-step explanation:
Given:
Total Distance = 555 mile
Total time = 5 hour
Let time taken to travel at 115 mph be t
So Time taken to travel at 105 mph will be equal to difference between Total time and time taken to travel at 115 mph.
Time taken to travel at 105 mph = 
Distance traveled in speed 105 mph will be equal to speed multiplied by time taken to travel at 105 mph.
Framing in equation form we get;
Distance traveled in 115 mph = 
Also;
Distance traveled in speed 105 mph will be equal to speed multiplied by time taken to travel at 105 mph.
Framing in equation form we get;
Distance traveled in 105 mph = 
Now Total Distance traveled is equal sum of Distance traveled in 115 mph and Distance traveled in speed 105 mph

Time taken to travel at 115 mph = 3 hrs.
Time taken to travel at 105 mph = 
Now Distance traveled in 115 mph = 
Distance traveled in 105 mph = 
Hence Distance traveled at speed 115 mph is <u>345 miles</u> and Distance traveled at speed 105 mph is <u>210 miles</u>.