SOLUTION: A train leaves a station at 12:00pm and travels at a constant speed of 75Km/h. another train leaves at the same station at 3:00pm and travelling at a constant speed of 100 mi/h. Wh

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Question 343783: A train leaves a station at 12:00pm and travels at a constant speed of 75Km/h. another train leaves at the same station at 3:00pm and travelling at a constant speed of 100 mi/h. What time both the train reads firdt? How far away is the station?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
R%2At=D
During the 3 hours, Train 1 has traveled 225 km.
The distance from the station for train 1 is,
D%5B1%5D=75%2At%2B225
Convert the second speed from mph to kph for consistent units.
100 mph=160.9 kph
The distance from the station for train 2 is,
D%5B2%5D=160.9t
Find t when D%5B1%5D=D%5B2%5D
75t%2B225=160.9t
85.9t=225
highlight%28t=2.62%29 hrs
.
.
.
At that point they are both at a distance of,
D=160.9%282.62%29
highlight%28D=421.4%29 km from the station.