SOLUTION: A train leaves Chicago going west. A second train leaves Chicago going east an hour earlier. The train going west travels at 51 mph while the train going east travels 87mph. How lo
Algebra.Com
Question 179245: A train leaves Chicago going west. A second train leaves Chicago going east an hour earlier. The train going west travels at 51 mph while the train going east travels 87mph. How long the train headed west leaves are the trains 439 miles apart.
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Set up 2 equations
For the west-bound train:
(1)
For the East-bound train:
(2)
given:
mi/hr
mi/hr
mi
hrs
------------------------
(1)
(3)
------------------------
(2)
(4)
Since (3) and (4) are both equal to ,
set them equal to eachother
hr
and
hrs
hrs
The trains are 439 mi apart 2.55 hrs after the westbound train leaves
check:
mi
and
and
mi
close enough
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A train leaves Chicago going west. A second train leaves Chicago going east an
hour earlier. The train going west travels at 51 mph while the train going east
travels 87 mph. How long the train headed west leaves are the trains 439 miles apart.
;
Let t = travel time of the westbound train
then
(t+1) = travel time of the eastbound train
:
Write a distance equation: dist = speed * time
:
East dist + west dist = 439
87(t+1) + 51t = 439
87t + 87 + 51t = 439
87t + 51t = 439 - 87
138t = 352
t =
t = 2.55 hrs they will be 439 miles apart (from the time the westbound train leaves)
;
:
Check solution:
2.55*51 = 130
3.55*87 = 309 (travel time 1 hr longer)
---------------
total d = 439 mi
RELATED QUESTIONS
if a train leaves chicago going west at 80 mph and another train leaves san francisco... (answered by Alan3354)
if a train leaves detroit at 10 pm(est)headed west toward chicago at 70 miles per hour... (answered by Greenfinch)
A train leaves the station traveling due east at a rate of 45 miles per hour. A second... (answered by Fombitz)
A plane leaves Chicago flying due east at 225 mph. While a train that left 2 1/4 hours... (answered by josmiceli)
A metra commuter train leaves union station in chicago at 12 noon. Two hours later, an... (answered by ankor@dixie-net.com)
PLEASE HELP- A TRAIN LEAVES THE STATION AT 6PM GOING WEST AT 80 MI/. ON A PARRALLEL TRACK (answered by checkley71)
A train leaves the station at 6p traveling west, going 80 miles per hour on a parallel... (answered by nerdybill)
My question is:
A train leaves Chicago traveling west at 60 miles per hour.An hour later (answered by josgarithmetic,rothauserc)
A metra commuter train leaves Union Station in Chicago at 12 noon. Two hours later, an... (answered by checkley77)