SOLUTION: A diesel train left Miami and traveled east. Three hours later a cattle train left traveling 10 km/h faster in an effort to catch up to it. After 15 hours the cattle train finally

Question 1071551: A diesel train left Miami and traveled east. Three hours later a cattle train left traveling 10 km/h faster in an effort to catch up to it. After 15 hours the cattle train finally caught up. Find the diesel train's average speed.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How far does the diesel train get in 3 hrs?
Let = the speed of the diesel train in km/hr
km
--------------------------
hrs after the diesel train's head start,
the cattle train catches up with it.
Let = distance in km the cattle train
travels until it catches the diesel train
Start a stop watch when the cattle train leaves
-----------------------------------------
Equation for diesel train:
(1)
Equation for cattle train:
(2)
---------------------------
(1)
(1)
Now plug (1) into (2)
(2)
(2)
(2)
(2)
and

The diesel train's speed is 50 km/hr
----------------------------------
check:
(1)
(1)
(1) km
and
(2)
(2)
(2) km
OK
check math & get another opinion if needed

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