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If 'X' is twice as fast as 'Y' and 'Y' is three times as fast as 'Z', how does '

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Question: If \'X\' is twice as fast as \'Y\' and \'Y\' is three times as fast as \'Z\', how does \'X\' compare to \'Z\'?

Options:

  1. X is faster than Z
  2. X is slower than Z
  3. X and Z are equal
  4. Cannot be determined

Correct Answer: X is faster than Z

Solution:

\'X\' is faster than \'Z\' because \'X\' is twice as fast as \'Y\' and \'Y\' is three times as fast as \'Z\', making \'X\' six times as fast as \'Z\'.

If 'X' is twice as fast as 'Y' and 'Y' is three times as fast as 'Z', how does '

Practice Questions

Q1
If 'X' is twice as fast as 'Y' and 'Y' is three times as fast as 'Z', how does 'X' compare to 'Z'?
  1. X is faster than Z
  2. X is slower than Z
  3. X and Z are equal
  4. Cannot be determined

Questions & Step-by-Step Solutions

If 'X' is twice as fast as 'Y' and 'Y' is three times as fast as 'Z', how does 'X' compare to 'Z'?
  • Step 1: Understand that 'X' is twice as fast as 'Y'. This means if 'Y' has a speed of 1 unit, then 'X' has a speed of 2 units.
  • Step 2: Understand that 'Y' is three times as fast as 'Z'. This means if 'Z' has a speed of 1 unit, then 'Y' has a speed of 3 units.
  • Step 3: Now, since 'Y' has a speed of 3 units (from Step 2), we can substitute this into the speed of 'X'. So, 'X' is twice the speed of 'Y', which is 2 times 3 units.
  • Step 4: Calculate the speed of 'X': 2 times 3 units equals 6 units. So, 'X' has a speed of 6 units.
  • Step 5: Now, we know 'Z' has a speed of 1 unit (from Step 2). Compare the speeds: 'X' is 6 units and 'Z' is 1 unit.
  • Step 6: Conclude that 'X' is six times faster than 'Z' because 6 units (speed of 'X') is six times 1 unit (speed of 'Z').
  • Relative Speed Comparison – Understanding how to compare speeds of different entities based on given relationships.
  • Multiplicative Relationships – Applying multiplicative relationships to derive the speed of one entity in relation to another.
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