SOLUTION: Two planes leave at 10 AM from airports that are 1350 kilometers apart and fly towards each other at speeds of 400 km/h and 500 km/h. At what time will they pass each other?

Algebra ->  College  -> Linear Algebra -> SOLUTION: Two planes leave at 10 AM from airports that are 1350 kilometers apart and fly towards each other at speeds of 400 km/h and 500 km/h. At what time will they pass each other?      Log On


   

Question 1157785: Two planes leave at 10 AM from airports that are 1350 kilometers apart and fly towards each other at speeds of 400 km/h and 500 km/h. At what time will they pass each other?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let " t " be the time under the question.


Then you have this equation

    400t + 500t = 1350,

saying that the total distance is the sum of partial distances.


Simplify and solve for t


    900t = 1350

    t    = 1350%2F900 = 1.5 hours.


ANSWER. 1 hour and 30 minutes.

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 and for all from these lessons on how to solve simple Travel and Distance problems.

Become an expert in this area.