SOLUTION: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 14 miles per hour slower than the eastbound train. If the two trains
Algebra.Com
Question 1151248: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 14 miles per hour slower than the eastbound train. If the two trains are 900 miles apart after 5 hours, what is the rate of the westbound train? Don't do any rounding. Urgent!
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let east bound train (A) speed = mph
west bound train(B) speed will be mph.
distance traveled by train A =
distance traveled by train B =
mph => speed of east bound train
the rate of the westbound train is: mph
check:
distance between trains after
train A:
train B:
distance between: mil
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The combined rate of the two trains is 900/5 = 180mph.
So you need two rates with a sum of 180, with one rate 14mph slower than the other.
From here, you can solve the problem with simple algebra:
The two rates are x=97 mph and x-14 = 83 mph.
If an algebraic solution is not required, here is a quick way to find the two rates with some simple arithmetic.
The sum of the two rates is 180.
If the two rates were the same, they would be 90 and 90.
To get two rates with the same sum but a difference of 14, add 7 to one rate and subtract 7 from the other.
ANSWER: The two rates are 90+7 = 97mph and 90-7 = 83mph.
RELATED QUESTIONS
Two trains leave the station at the same time, one heading west and the other east. The... (answered by checkley77)
Two trains leave the station at the same time, one heading west and the other east. THe... (answered by rfer)
Two trains leave the station at the same time, one heading west and the other east. The... (answered by richwmiller)
Two trains leave the station at the same time, one heading west and the other east. The... (answered by josmiceli)
Two trains leave the station at the same time, one heading west and the other east. The... (answered by ikleyn)
wo trains leave the station at the same time, one heading west and the other east. The... (answered by stanbon)
Two trains leave the station at the same time, one heading east and the other west. The... (answered by ankor@dixie-net.com)
Two trains leave the station at the same time, one heading east and the other west. The... (answered by ikleyn)
I need help trying just how to set-up the equation for solving.
Two trains leave the... (answered by Alan3354)