Question

Lin can type 192 words in 6 minutes. Hoi can type 112 words in 4 minutes. Which statement is true?
Hoi can type 4 more words per minute than Lin.
Lin can type 4 more words per minute than Hoi.
Lin can type 8 more words per minute than Hoi.
Hoi can type 8 more words per minute than Lin.

Answer 1

To determine who types faster and by how much, we first need to calculate the typing rate for both Lin and Hoi.

**Lin's typing rate:**
Lin can type 192 words in 6 minutes. Therefore, her typing rate is:

\[
\text{Lin's rate} = \frac{192 \text{ words}}{6 \text{ minutes}} = 32 \text{ words per minute}
\]

**Hoi's typing rate:**
Hoi can type 112 words in 4 minutes. Therefore, his typing rate is:

\[
\text{Hoi's rate} = \frac{112 \text{ words}}{4 \text{ minutes}} = 28 \text{ words per minute}
\]

**Comparing their rates:**
- Lin's typing rate is 32 words per minute.
- Hoi's typing rate is 28 words per minute.

Now, we're looking for the difference in their typing rates:

\[
\text{Difference} = 32 \text{ (Lin's rate)} - 28 \text{ (Hoi's rate)} = 4 \text{ words per minute}
\]

Since Lin types faster, the correct statement is:

**"Lin can type 4 more words per minute than Hoi."**