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The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in

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Question: The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?

Options:

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

Correct Answer: 120

Solution: 

Speed of faster car = 140 km / 2 hours = 70 km/h. Speed of slower car = (5/7) * 70 = 50 km/h. Distance traveled by slower car in 2 hours = 50 * 2 = 100 km.

The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in

Practice Questions

Q1
The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?
  1. 100
  2. 120
  3. 140
  4. 160

Questions & Step-by-Step Solutions

The ratio of the speeds of two cars is 5:7. If the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?
  • Step 1: Identify the ratio of the speeds of the two cars, which is 5:7.
  • Step 2: Calculate the speed of the faster car. It travels 140 km in 2 hours.
  • Step 3: Use the formula for speed: Speed = Distance / Time. So, Speed of faster car = 140 km / 2 hours = 70 km/h.
  • Step 4: Find the speed of the slower car using the ratio. The slower car's speed is (5/7) of the faster car's speed.
  • Step 5: Calculate the speed of the slower car: (5/7) * 70 km/h = 50 km/h.
  • Step 6: Now, calculate how far the slower car travels in the same 2 hours.
  • Step 7: Use the formula for distance: Distance = Speed * Time. So, Distance traveled by slower car = 50 km/h * 2 hours = 100 km.
  • Ratio and Proportion – Understanding the relationship between the speeds of two cars based on their given ratio.
  • Speed, Distance, and Time – Applying the formula distance = speed × time to calculate the distance traveled by the slower car.
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