SOLUTION: A train leaves Orlando at 1:00 PM. A second train leaves the same city in the same direction at 3:00 PM. The second train travels 32 mph faster than the first. If the second tra
Algebra.Com
Question 950545: A train leaves Orlando at 1:00 PM. A second train leaves the same city in the same direction at 3:00 PM. The second train travels 32 mph faster than the first. If the second train overtakes the first at 7:00 PM, what is the speed of each of the two trains?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed in mi/hr of the 1st train
= the speed in mi/hr of the 2nd train
--------------------
From 1 PM to 3 PM is hrs
The 1st train's head start is:
--------------------
Start a stopwatch when the 2nd train leaves
at 3 PM and stop the watch at 7 PM
--------------------
Let = the distance the 2nd train travels
from 3 PM to 7 PM
--------------------
Equation for the 1st train:
(1)
Equation for the 2nd train:
(2)
---------------------
(1)
(1)
Plug this result into (2)
(2)
(2)
(2)
(2)
and
------------------
The speed of the 1st train is 64 mi/hr
The speed of the 2nd train is 96 mi/hr
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK
RELATED QUESTIONS
A train leaves Orlando at 1:00 PM. A second train leaves the same city in the same... (answered by ikleyn)
A train leaves Orlando at 1:00 pm. A second train leaves the same city in the same... (answered by ikleyn,greenestamps)
a train leaves Orlando at 3:00 pm. a second train leaves the same city in the same... (answered by Boreal)
a train leaves new york at 3:00 PM. A second train leaves the same city in the same... (answered by josgarithmetic)
A train leaves Orlando at 2:00 PM. A second train leaves the same city in the same... (answered by ankor@dixie-net.com)
A train leaves Orlando at 4:00 PM. A second train leaves the same city in the same... (answered by mccravyedwin,greenestamps)
A train leaves Orlando at 4:00 PM. A second train leaves the same city in the same... (answered by ikleyn)
A train leaves Philadelphia at 1:00 PM. A second train leaves the same city in the same... (answered by josmiceli)
A train leaves Boston at 1:00 PM. A second train leaves the same city in the same... (answered by advanced_Learner)