SOLUTION: maria left the mall and drove north. jimmy left one hour later driving at 24 km/h in an effort to catch up to maria. after driving for 5 hours jimmy finally caught up. find maria's

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: maria left the mall and drove north. jimmy left one hour later driving at 24 km/h in an effort to catch up to maria. after driving for 5 hours jimmy finally caught up. find maria's      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1122397: maria left the mall and drove north. jimmy left one hour later driving at 24 km/h in an effort to catch up to maria. after driving for 5 hours jimmy finally caught up. find maria's average speed
Found 4 solutions by solver91311, josmiceli, josgarithmetic, greenestamps:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Jimmy traveled 5 hours at 24 km/hr to go the same distance that Maria traveled for 6 hours at km/hr. So



Solve for


John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Jimmy left 1 hr after Maria & traveled for 5 hrs,so
Maria traveled for 6 hrs
—————————————-
Let +s+ = Maria’s average speed
Let +d+ = distance from start where they meet
———————
Jimmy’s equation:
+d+=+24%2A5+
+d+=+120+ km
Maria’s equation:
+d+=+s%2A6+
+120+=+6s+
+s+=+20+ km/hr

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED     TIME         DISTANCE

jimmy            24        5             d
 
maria            r                       d

difference                1


Maria's speed r is to be found. Maria's time is to be found.
The distance they each traveled, 24%2A5=120 kilometers. 


               SPEED     TIME         DISTANCE

jimmy            24        5            120
 
maria            r        6             120

difference                1

Since the time difference had to be 1 hour as given, Maria going slower, had to travel for MORE time; 6 hours.

Her average speed:
120%2F6
60%2F3
highlight%28r=20%29----------kilometers per hour, Maria

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


I took Maria 6 hours to travel the same distance Jimmy traveled in 5 hours.

That means Maria's speed was 5/6 of Jimmy's speed.

(5/6)*24 = 20

Maria's speed was 20 km/h.