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If the ratio of the speeds of two trains is 5:7 and the faster train travels 280

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Question: If the ratio of the speeds of two trains is 5:7 and the faster train travels 280 km in 4 hours, how far does the slower train travel in the same time?

Options:

  1. 200
  2. 240
  3. 280
  4. 320

Correct Answer: 240

Solution: 

Speed of faster train = 280/4 = 70 km/h. Speed of slower train = (5/7)*70 = 50 km/h. Distance = speed * time = 50*4 = 200 km.

If the ratio of the speeds of two trains is 5:7 and the faster train travels 280

Practice Questions

Q1
If the ratio of the speeds of two trains is 5:7 and the faster train travels 280 km in 4 hours, how far does the slower train travel in the same time?
  1. 200
  2. 240
  3. 280
  4. 320

Questions & Step-by-Step Solutions

If the ratio of the speeds of two trains is 5:7 and the faster train travels 280 km in 4 hours, how far does the slower train travel in the same time?
  • Step 1: Find the speed of the faster train by dividing the distance it travels by the time it takes. The faster train travels 280 km in 4 hours, so speed = 280 km / 4 hours.
  • Step 2: Calculate the speed of the faster train. 280 km / 4 hours = 70 km/h.
  • Step 3: Use the ratio of the speeds of the two trains, which is 5:7. This means for every 5 parts of speed for the slower train, the faster train has 7 parts.
  • Step 4: Set up the equation for the speed of the slower train. If the speed of the faster train is 70 km/h, then the speed of the slower train = (5/7) * 70 km/h.
  • Step 5: Calculate the speed of the slower train. (5/7) * 70 km/h = 50 km/h.
  • Step 6: Now, find out how far the slower train travels in the same time (4 hours). Use the formula: distance = speed * time.
  • Step 7: Calculate the distance traveled by the slower train. Distance = 50 km/h * 4 hours = 200 km.
  • Ratio and Proportion – Understanding and applying the concept of ratios to compare the speeds of two trains.
  • Speed, Distance, and Time – Using the relationship between speed, distance, and time to calculate distances traveled.
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