SOLUTION: A train leaves the station at noon. The train is 180 miles from its destination at 12:45 p.m. and 90 miles from its destination at 2:15 p.m. How far is the station from the destin

Question 852587: A train leaves the station at noon. The train is 180 miles from its destination at 12:45 p.m. and 90 miles from its destination at 2:15 p.m.
How far is the station from the destination?
At what time will the train reach the destination?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A train leaves the station at noon.
The train is 180 miles from its destination at 12:45 p.m. and 90 miles from its destination at 2:15 p.m.
How far is the station from the destination?
At what time will the train reach the destination?
:
From the information given, we can draw a time/dist line
Noon--------------12:45---------90----------2:15----------90-----------*
:
Find the speed using the 1.5 hrs from 12:45 to 2:15 covers 90 mi
s = = 60 mph
Find the dist traveled from noon to 12:45, .75 hrs
d = .75(60)
d = 45 mi
Find the total dist
45 + 90 + 90 = 225 mi
Find the total time
t =
t = 3.75 hrs which is 3 hr & 45 min
Find the arrival time
noon + 3:45 = 3:45 PM
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