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

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Question: If the ratio of the speeds of two cars is 5:7 and 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: 

Let the speeds be 5x and 7x. Faster car\'s speed = 70 km/h. Slower car\'s speed = (5/7)*70 = 50 km/h. Distance = speed * time = 50 * 2 = 100 km.

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

Practice Questions

Q1
If the ratio of the speeds of two cars is 5:7 and 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

If the ratio of the speeds of two cars is 5:7 and the faster car travels 140 km in 2 hours, how far does the slower car travel in the same time?
  • Step 1: Understand the ratio of the speeds of the two cars, which is 5:7.
  • Step 2: Let the speed of the slower car be 5x and the speed of the faster car be 7x.
  • Step 3: We know the faster car travels 140 km in 2 hours. First, calculate its speed: Speed = Distance / Time = 140 km / 2 hours = 70 km/h.
  • Step 4: Since the faster car's speed is 7x and we found it to be 70 km/h, we can set up the equation: 7x = 70.
  • Step 5: Solve for x: x = 70 / 7 = 10.
  • Step 6: Now, find the speed of the slower car: Slower car's speed = 5x = 5 * 10 = 50 km/h.
  • Step 7: Calculate the distance the slower car travels in the same 2 hours: Distance = Speed * Time = 50 km/h * 2 hours = 100 km.
  • Ratio and Proportion – Understanding and applying the concept of ratios to determine relative speeds.
  • Speed, Distance, and Time Relationship – Using the formula distance = speed × time to calculate distance traveled.
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