SOLUTION: Two trains, one traveling 10 km/h faster than the other, leave the same station at the same time, one traveling east and one traveling west. At the end of 6 hours, they are 540 km

Algebra ->  Real-numbers -> SOLUTION: Two trains, one traveling 10 km/h faster than the other, leave the same station at the same time, one traveling east and one traveling west. At the end of 6 hours, they are 540 km      Log On


   

Question 280060: Two trains, one traveling 10 km/h faster than the other, leave the same station at the same time, one
traveling east and one traveling west. At the end of 6 hours, they are 540 km apart. How far does each train travel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's the same problem if you think of 1 train
as being stationary, and the other moving at
their added speeds
In 6 hrs:
540+=+r%2A6
r+=+90 km/hr is their added speeds
Their speeds are r%5B1%5D and r%5B2%5D+=+r%5B1%5D+%2B+10
r%5B1%5D+%2B+r%5B1%5D+%2B+10+=+90
2r%5B1%5D+=+80
r%5B1%5D+=+40
r%5B1%5D+%2B+10+=+50
In 6 hrs, 1st train goes
d%5B1%5D+=+40%2A6
d%5B1%5D+=+240 km
and the 2nd train goes
d%5B2%5D+=+50%2A6
d%5B2%5D+=+300 km
check:
240+%2B+300+=+540
OK