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Two cyclists start from the same point and ride in opposite directions at speeds

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Question: Two cyclists start from the same point and ride in opposite directions at speeds of 12 km/h and 15 km/h. How far apart will they be after 2 hours?

Options:

  1. 54 km
  2. 60 km
  3. 30 km
  4. 42 km

Correct Answer: 60 km

Solution: 

Relative speed = 12 + 15 = 27 km/h. Distance apart after 2 hours = 27 * 2 = 54 km.

Two cyclists start from the same point and ride in opposite directions at speeds

Practice Questions

Q1
Two cyclists start from the same point and ride in opposite directions at speeds of 12 km/h and 15 km/h. How far apart will they be after 2 hours?
  1. 54 km
  2. 60 km
  3. 30 km
  4. 42 km

Questions & Step-by-Step Solutions

Two cyclists start from the same point and ride in opposite directions at speeds of 12 km/h and 15 km/h. How far apart will they be after 2 hours?
  • Step 1: Identify the speeds of the two cyclists. One cyclist rides at 12 km/h and the other at 15 km/h.
  • Step 2: Since they are riding in opposite directions, we need to add their speeds together to find the relative speed. So, 12 km/h + 15 km/h = 27 km/h.
  • Step 3: Determine how long they will be riding. The problem states they ride for 2 hours.
  • Step 4: To find out how far apart they will be after 2 hours, multiply their relative speed by the time. So, 27 km/h * 2 hours = 54 km.
  • Step 5: Conclude that after 2 hours, the two cyclists will be 54 km apart.
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