SOLUTION: Jaime and Alex leave the same location and travel in opposite directions. Traffic conditions enabled Alex to average 14 miles per hour faster than Jaime. After 1� hours they are 15

Question 1026157: Jaime and Alex leave the same location and travel in opposite directions. Traffic conditions enabled Alex to average 14 miles per hour faster than Jaime. After 1� hours they are 159 miles apart. Find the speed at which each was able to travel.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance in miles Jaime travels in 1.5 hrs
= distance Alex travels in 1.5 hrs
Let = Jaime's speed in mi/hr
= Alex's speed in mi/hr
--------------------------------
Jaime's equation:
(1)
Alex's equation:
(2)
----------------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and

Jaime's speed was 46 mi/hr
Alex's speed was 60 mi/hr
------------------------
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2)
(2) mi
RELATED QUESTIONS
Two airplanes leave an airport at the same time and travel in opposite directions. (answered by richwmiller)

Pedro and Maria leave the same location at the same time and travel in opposite... (answered by stanbon)

Thaddeus and Ian start at the same location and drive in opposite directions, but leave... (answered by Theo)

At 10:100 a.m. two cars leave the same location and travel in opposite directions one... (answered by mananth)

At 10 A.M. two cars leave the same location and travel in opposite directions. One car's (answered by stanbon)

At 10 A.M. two cars leave the same location and travel in opposite directions. One car's... (answered by stanbon)

At 10:00 A.M. two cars leave the same location and travel in opposite directions. One... (answered by scott8148)

Two balloonists leave the same location simultaneously traveling in opposite directions:... (answered by TimothyLamb)

Two cars leave from the same location and travel in opposite directions along a straight... (answered by josmiceli)