A cattle train left Miami and traveled toward New York. 14 hours later a diesel train left traveling at 45 km/h in an effort to catch up to the cattle train. After traveling for four hours the diesel train finally caught up. What was the cattle train's average speed?
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Answer:
Let x = speed of the cattle train
:
Write a distance equation; dist = speed * time
:
we know when the two trains will have traveled the same distance.
:
We know from the given information that the cattle train will have been traveling for 14 + 4 = 18 hrs
:
Cattle dist = diesel dist
18x = 4*45
:
18x = 180
x = 
x = 10 mph is the speed of the cattle train
:
:
Check the solution by finding the distance of each:
18 * 10 = 180 mi
4 * 45 = 180 mi
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