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Anna35 [415]
3 years ago
11

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 10 miles per hou

r slower than the westbound train. If the two trains are 1000 miles apart after 5 hours, what is the rate of the eastbound train?
PLEASE QUICK ANSWER
Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

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

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