We first find out the total time it will take for the whole trip at 30mph.
We simply divide total distance by speed so:
500/ 30 = 16.66 hours
Now what time does it take to travel 1 mile only? Let this time be x
1 hr = 30 miles
x hr = 1 mile
Coss multiplying this equation, we get:
30x = 1
x = 1/ 30 = 0.033 hrs
For 50 miles it will take 0.033 × 50 = 1.65 hours
The remainder of the trip it will take:
16.66 - 1. 65 = 15.01 hours