SOLUTION: Paul left the airport traveling toward the ocean two hours before Arjun. Arjun traveled in the opposite direction going 10 km/h faster than Paul for two hours after which time they

Question 1171578: Paul left the airport traveling toward the ocean two hours before Arjun. Arjun traveled in the opposite direction going 10 km/h faster than Paul for two hours after which time they were 230 km apart. What was Paul’s speed?
Answer by ikleyn(52866) (Show Source): You can put this solution on YOUR website!
.


Let x be the Paul' speed, in km/h.

Then the Arjun' speed is  (x+10) km/h.


Paul's traveled distance is  (2+2)x = 4x kilometers.

Arjun's traveled distance is 2*(x+10) kilometers.


The total distance equation is

    4x + 2*(x+10) = 230  kilometers.


Simplify and solve

    4x + 2x + 20 = 230

    6x           = 230 - 20 = 210 

     x                      = 210/6 = 35.


ANSWER.   Paul' speed is  35 km/h.

Solved.

----------------

For simple Travel & Distance problems, see introductory lessons
    - 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.

RELATED QUESTIONS
Lea left the airport traveling toward the capital four hours before Danielle. Danielle... (answered by jorel1380)

Jacob left the airport traveling toward the ocean two hours before Amanda. Amanda... (answered by Seutip,ikleyn)

Daniel left school traveling toward the dump four hours before Kayla. Kayla traveled in... (answered by Boreal)

Joe left the White House and traveled toward the Ocean at an average speed of 30 mph.... (answered by ankor@dixie-net.com)

Jaidee left the airport driving toward the desert three hours before Wilbur. Wilbur drove (answered by josmiceli)

Adam left Mike's house traveling west three hours before Carlos. Carlos traveled in the... (answered by josgarithmetic)

sally left the city traveling at 64 mph, while, at the same time, Jessica left the city... (answered by josmiceli)

fred left the city traveling 51 mph at the same time,nancy left the city going to... (answered by ikleyn)

Show all work as you solve the following problems and write complete answers, including... (answered by josmiceli)