Answer:
Eastbound train: 95 miles per hour
Westbound train: 105 miles per hour
Step-by-step explanation:
Let:
- e = speed of the eastbound train
- w = speed of the westbound train
The eastbound train travels 10 miles per hour slower than the westbound train
So e = w - 10
Every hour, the distance between the two trains is the sum of the values.
(w - 10) + w = distance apart in 1 hour
5(w - 10 + w) = distance after 5 hours
Solve:
- 5(w - 10 + w) = 1000
- 5(2w - 10) = 1000
- 10w - 50 = 1000
- 10w = 1050
- w = 105
The westbound train is 105 miles/ hour.
The eastbound train is 95 miles per hour
-Chetan K
