SOLUTION: A cattle train left Miami and traveles toward New York, 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling four ho

Question 144507: A cattle train left Miami and traveles toward New York, 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling four hours the diesel train finally caught up.
What was the cattle train's average speed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A cattle train left Miami and travels toward New York, 14 hours later a diesel train left traveling at 45km/h in an effort to catch up to the cattle train. After traveling four hours the diesel train finally caught up.
What was the cattle train's average speed?
:
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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