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Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How l

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Question: Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?

Options:

  1. 5 seconds
  2. 10 seconds
  3. 15 seconds
  4. 20 seconds

Correct Answer: 10 seconds

Solution: 

Relative speed = 50 km/h + 70 km/h = 120 km/h = 33.33 m/s. Time = Distance / Relative speed = 200 m / 33.33 m/s = 6 seconds.

Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How l

Practice Questions

Q1
Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?
  1. 5 seconds
  2. 10 seconds
  3. 15 seconds
  4. 20 seconds

Questions & Step-by-Step Solutions

Two cars are moving towards each other with speeds of 50 km/h and 70 km/h. How long will it take for them to collide if they are 200 meters apart?
  • Step 1: Identify the speeds of the two cars. One car is moving at 50 km/h and the other at 70 km/h.
  • Step 2: Calculate the relative speed by adding the speeds of both cars together: 50 km/h + 70 km/h = 120 km/h.
  • Step 3: Convert the relative speed from kilometers per hour to meters per second. To do this, divide by 3.6: 120 km/h ÷ 3.6 = 33.33 m/s.
  • Step 4: Determine the distance between the two cars, which is given as 200 meters.
  • Step 5: Use the formula for time, which is Time = Distance / Speed. Plug in the values: Time = 200 m / 33.33 m/s.
  • Step 6: Calculate the time: 200 m ÷ 33.33 m/s = 6 seconds.
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