Question
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Hugo sells handmade key chains online. Yesterday, he made 6 keychains in 30 minutes. Hugo wants to make 9 keychains today.
If Hugo works at the same rate today, how long will it take him to make the keychains?
Answers
GPT-4o mini
To find out how long it will take Hugo to make 9 keychains, we first need to determine his rate of making keychains.
Hugo made 6 keychains in 30 minutes, so we can find his rate as follows:
1. **Rate of keychains per minute**:
\[
\text{Rate} = \frac{6 \text{ keychains}}{30 \text{ minutes}} = \frac{1 \text{ keychain}}{5 \text{ minutes}}
\]
This means Hugo takes 5 minutes to make one keychain.
2. **Time to make 9 keychains**:
Since he takes 5 minutes for each keychain, for 9 keychains, the time would be:
\[
\text{Time} = 9 \text{ keychains} \times 5 \text{ minutes per keychain} = 45 \text{ minutes}
\]
Therefore, it will take Hugo **45 minutes** to make 9 keychains today.
Hugo made 6 keychains in 30 minutes, so we can find his rate as follows:
1. **Rate of keychains per minute**:
\[
\text{Rate} = \frac{6 \text{ keychains}}{30 \text{ minutes}} = \frac{1 \text{ keychain}}{5 \text{ minutes}}
\]
This means Hugo takes 5 minutes to make one keychain.
2. **Time to make 9 keychains**:
Since he takes 5 minutes for each keychain, for 9 keychains, the time would be:
\[
\text{Time} = 9 \text{ keychains} \times 5 \text{ minutes per keychain} = 45 \text{ minutes}
\]
Therefore, it will take Hugo **45 minutes** to make 9 keychains today.