Two friends entered a writing contest. Sam wrote 180 words in 60 minutes. Freya wrote 120 words in 30 minutes. Based on this data which statement is true?

Question

1. Sam wrote MORE words per minute with a unit rate of 4 words/1 minute.
2. Both friends wrote the same amount of words per minute.
3. Freya wrote MORE words per minute with a unit rate of 4 words/1 minute.
4. Freya wrote LESS words per minute with a unit rate of 4 words/1 minute.

Answer 1

To determine which statement is true, we need to calculate the words per minute for both Sam and Freya.

1. Sam's rate:

   • Words written: 180
   • Time taken: 60 minutes
   • Words per minute = 180 words / 60 minutes = 3 words per minute.

2. Freya's rate:

   • Words written: 120
   • Time taken: 30 minutes
   • Words per minute = 120 words / 30 minutes = 4 words per minute.

Now, comparing their rates:

• Sam wrote 3 words per minute.
• Freya wrote 4 words per minute.

Now, let's analyze the statements:

1. Sam wrote MORE words per minute with a unit rate of 4 words/1 minute. (False - Sam wrote 3 words/minute)
2. Both friends wrote the same amount of words per minute. (False - Sam wrote 3 words/minute; Freya wrote 4 words/minute)
3. Freya wrote MORE words per minute with a unit rate of 4 words/1 minute. (True - Freya wrote 4 words/minute, which is more than Sam)
4. Freya wrote LESS words per minute with a unit rate of 4 words/1 minute. (False - Freya wrote more, not less)

The true statement is: 3. Freya wrote MORE words per minute with a unit rate of 4 words/1 minute.