SOLUTION: The local train is 25 miles down the track from central station when the express leaves the station. The local train travels at a rate of 50 mi/hr and the express travels at a rate
Algebra.Com
Question 560195: The local train is 25 miles down the track from central station when the express leaves the station. The local train travels at a rate of 50 mi/hr and the express travels at a rate of 80 mi/hr. Let N represent the number of hours since the express train left Central Station.
Question 1.) Write at expression that represents the express train's distance from Central Station in N hours.
Question 2.) When will the express train catch up with the local train?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The local train is 25 miles down the track from central station when the express leaves the station.
The local train travels at a rate of 50 mi/hr and the express travels at a rate of 80 mi/hr.
Let N represent the number of hours since the express train left Central Station.
:
Question 1.) Write at expression that represents the express train's distance from Central Station in N hours.
80n
:
Question 2.) When will the express train catch up with the local train?
:
When the express catches up with the local, they will have traveled the same distance
write a distance equation: dist = = speed * time
:
80n = 50(n + )
80n = 50(n+.5)
80n = 50n + 25
80n - 50n = 25
30n = 25
n =
n = hr or 50 minutes to catch up with the local
:
:
Confirm this by finding the actual distances, they should be the same:
Local took half hr longer; 8/6 hrs
*80 = 66.67 mi
*50 = 66,67 mi
RELATED QUESTIONS
The local train is 25 miles down the track from the Central Station when the express... (answered by lwsshak3,stanbon)
the average speed of the local train is 10 miles per hour less than two-thirds the speed... (answered by josmiceli)
A local train leaves a city, traveling east at 70 km/h. One hour later, an express train... (answered by lwsshak3)
a local commuter train leaves washington at 6 am averaging 36 mph at 7:15 am, a high... (answered by ewatrrr)
An express train travels 100kph from Station A to Station B. A local train travelling at... (answered by ikleyn)
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a... (answered by macston,ikleyn)
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a... (answered by checkley77)
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a... (answered by rfer)
An express train leaves Grand Central Station 1 h after a freight train leaves the same... (answered by ankor@dixie-net.com)