To find out how many boxes Gerry can pack in 1 hour, we first need to determine his packing rate.
Gerry packs 4 boxes in \( \frac{243}{100} \) hours (which is 2 hours and 4.3 minutes). To make calculations easier, let’s convert this time into hours:
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Convert 4.3 minutes into hours: \[ 4.3 \text{ minutes} = \frac{4.3}{60} \text{ hours} \approx 0.0717 \text{ hours} \]
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Combine this with the 2 hours: \[ \frac{243}{100} \text{ hours} = 2 \text{ hours} + 0.0717 \text{ hours} \approx 2.0717 \text{ hours} \]
Now we know that Gerry packs 4 boxes in approximately 2.0717 hours.
To find out how many boxes he can pack in 1 hour, we set up the following ratio:
\[ \text{Packing rate} = \frac{\text{number of boxes}}{\text{time in hours}} \] \[ \text{Packing rate} = \frac{4 \text{ boxes}}{2.0717 \text{ hours}} \approx 1.931 \text{ boxes per hour} \]
To simplify calculations, if we interpret 243 hours as in minutes, \[ 60 \times 2 + 4 + 3 = 123 \text{ minutes} \]
- Therefore, his packing rate in boxes per hour becomes: \[ \text{Packing rate} = \frac{4 \text{ boxes}}{123 \text{ minutes}} \times 60 \approx 1.95 \text{ boxes per hour}. \]
Among the choices given, if calculated for fewer boxes we will have:
- Closest whole number is 2 boxes per hour.
So, Gerry can pack approximately 2 boxes per hour.