.
Two boats leave a port at the same time one going north and the other traveling south.
The northbound boat travels 18 mph faster than the southbound boat.
If the southbound boat is traveling at 46 mph, how long will it be before they are 1650 miles apart ?
~~~~~~~~~~~~~~~~~~~~
1. Northbound boat rate = 46 + 18 = 64 mph.
2. The problem asks at which time "t" it will happen
46t + 64t = 1650,
and the answer is: at t = = = 15 hours.
Solved.
-----------------
See introductory lessons on Travel and Distance problems
- Travel and Distance problems
- Travel and Distance problems for two bodies moving in opposite directions
- Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.
They are written specially for you.
You will find the solutions of many similar problems there.
Read them and learn once for all from these lessons on how to solve simple Travel and Distance problems.
Become an expert in this area.
===============
By the way, the key step to understanding such problems is TO WRITE them in a way THEIR SENSE becomes clear to you from the first glance.
See how I did write your problem at the beginning of my response.