SOLUTION: A train leaves Los Angeles at 2 pm heading north at 50mph. If the next rain leaves in 3 hours, and will also head north at 60mph, at what time will they meet? ** Can u please w

Question 979875: A train leaves Los Angeles at 2 pm heading north at 50mph. If the next rain leaves in 3 hours, and will also head north at 60mph, at what time will they meet?
** Can u please write all the steps and not only the answer. That would help me understand a lot better. Thanks guys!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First, you want to know how much of a
head start the 1st train got

mi is the 1st train's head start
------------------------------------------
Now you want to start a stop watch when the
2nd train leaves at 2 PM + hrs = 5 PM
Let = the time on the stopwatch when
the 2nd train catches up with the 1st train
( note that both trains will travel for the
same amount of time as shown on stop watch )
Let = the distance the 2nd train travels
until it catches the 1st train
---------------------------------------
Equation for 1st train:
(1)
Equation for 2nd train:
(2)
---------------------
Substitute (2) into (1)
(1)
(1)
(1)
The trains will meet hrs after 5 PM
hrs after 5 PM = 5 AM, and
5 AM + = 8 AM the following day
---------------------
check anwer:
(2)
(2)
(2) mi
and
(1)
(1)
(1)
(1) mi
OK

RELATED QUESTIONS
One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New (answered by bucky)

A train leaves the station heading north at 125 mph, a second train leaves 2 hours later... (answered by robertb)

New York is 3000 miles from Los Angeles. Sol leaves New York aboard a plane heading... (answered by josgarithmetic)

A train leaves a station at 11am, heading north. Another train, 320 km away, leaves at... (answered by josmiceli)

Car A leaves Los Angeles at noon driving North to San Francisco at 60 mph. Car B leaves... (answered by scott8148)

A train leaves bridgewater, heading north, at 6 a.m. at 40 mph. Anotherr train leaves... (answered by josgarithmetic)

At 6am a train traveling at 50mph leaves Los Angeles for San Francisco. Three hours later (answered by josmiceli)

A Train Leaves Los Angeles at 2:00 PM. A second train leaves the same station in the same (answered by checkley77)

Car A leaves Santa Barbara at noon traveling south toward Los Angeles at 70 mph. At 1pm... (answered by ankor@dixie-net.com)