SOLUTION: 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 t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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 t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1110578: 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
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 = 1650%2F%2846%2B64%29 = 1650%2F110 = 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.