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If a train leaves a station traveling north at 60 mph and another train leaves t

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Question: If a train leaves a station traveling north at 60 mph and another train leaves the same station traveling south at 80 mph, how far apart will they be after 2 hours?

Options:

  1. 140 miles
  2. 160 miles
  3. 120 miles
  4. 100 miles

Correct Answer: 160 miles

Solution:

In 2 hours, the first train travels 120 miles and the second train travels 160 miles, making them 280 miles apart.

If a train leaves a station traveling north at 60 mph and another train leaves t

Practice Questions

Q1
If a train leaves a station traveling north at 60 mph and another train leaves the same station traveling south at 80 mph, how far apart will they be after 2 hours?
  1. 140 miles
  2. 160 miles
  3. 120 miles
  4. 100 miles

Questions & Step-by-Step Solutions

If a train leaves a station traveling north at 60 mph and another train leaves the same station traveling south at 80 mph, how far apart will they be after 2 hours?
  • Step 1: Identify the speed of the first train, which is 60 miles per hour (mph).
  • Step 2: Identify the speed of the second train, which is 80 miles per hour (mph).
  • Step 3: Determine the time both trains are traveling, which is 2 hours.
  • Step 4: Calculate the distance traveled by the first train in 2 hours: 60 mph * 2 hours = 120 miles.
  • Step 5: Calculate the distance traveled by the second train in 2 hours: 80 mph * 2 hours = 160 miles.
  • Step 6: Add the distances of both trains to find out how far apart they are: 120 miles + 160 miles = 280 miles.
  • Relative Motion – Understanding how two objects moving in opposite directions can be analyzed to find the total distance between them.
  • Speed and Distance Calculation – Using the formula distance = speed × time to calculate how far each train travels.
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