SOLUTION: A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours later a second train, traveling at an average rate of 25 miles per hour more than the first t
Algebra.Com
Question 67706: A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours later a second train, traveling at an average rate of 25 miles per hour more than the first train, leaves the same station, going in the same direction, on a parallel track. If the faster train overtakes the first train at 3:00 P.M. on the same day, what is the average rate of speed of the first train.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A train leaves a station at 9:00 A.M. traveling at a constant rate of speed. Two hours later a second train, traveling at an average rate of 25 miles per hour more than the first train, leaves the same station, going in the same direction, on a parallel track. If the faster train overtakes the first train at 3:00 P.M. on the same day, what is the average rate of speed of the first train.
-----------
If train two overtakes train one at 3:00 train two must have traveled
from 11:00 to 3:00 or 4 hours. Train one left two hours earlier so
it must have traveled for 6 hours.
---------------
Train one DATA:
Time = 6 hours ; Rate = x mph; Distance = r*t = 6x miles
-----------
Train two DATA:
Time = 4 hurs ; Rate = x+25 mph ; Distance = r*t = 4(x+25)
------------
EQUATION:
distance = distance
6x=4(x+25)
6x=4x+100
2x=100
x=50 mph (speed of 1st train)
--------------
Cheers,
Stan H.
RELATED QUESTIONS
A train leaves a station and travels north at 75km/h. Two hours later, a second train... (answered by lwsshak3)
A train leaves a station and travels north at 75km/h. Two hours later, a second train... (answered by Theo,MathTherapy)
A train leaves the station traveling west at a constant rate of 45 mph. An express train... (answered by TimothyLamb)
one train leaves a station heading due west. two hours later a second train leaves the... (answered by xcentaur)
One train leaves a station heading due west. Two hours later a second train leaves the... (answered by mananth)
A train leaves a station traveling north at 105 mph. Two hours later a second train... (answered by Fombitz)
The A train leaves the station at 3:00pm traveling at 40mph. The B train leaves the... (answered by rfer)
At 8:00 A>M> a train leaves a station and travels at a rate of 46 mph. At 9:00 A.M. a... (answered by lwsshak3)
A train leaves the station at 6:00pm traveling west at 80mph. On a parallel track,a... (answered by Alan3354,josmiceli)