To determine how many lego planes Johnny can build in 40 minutes, we can utilize a proportional relationship since his rate of building lego planes can be assumed to be constant.
Here's the detailed step-by-step solution:
1. Identify the known quantity and the required time period: - Johnny can build [tex]\( 3.5 \)[/tex] lego planes in [tex]\( 60 \)[/tex] minutes. - We need to find out how many lego planes he can build in [tex]\( 40 \)[/tex] minutes.
2. Calculate the rate of lego planes per minute: - Johnny builds [tex]\( 3.5 \)[/tex] lego planes in [tex]\( 60 \)[/tex] minutes. - To find the rate per minute, we divide the number of lego planes by the number of minutes: [tex]\[
\text{Rate per minute} = \frac{3.5 \text{ lego planes}}{60 \text{ minutes}} = 0.0583\overline{3} \text{ lego planes per minute}
\][/tex]
3. Determine the number of lego planes built in 40 minutes: - Now, we will multiply the rate per minute by the desired time period (40 minutes): [tex]\[
\text{Lego planes in 40 minutes} = 0.0583\overline{3} \text{ lego planes/minute} \times 40 \text{ minutes} = 2.3333\overline{3} \text{ lego planes}
\][/tex]
4. Simplify the final answer (if applicable): - The result [tex]\( 2.3333\overline{3} \)[/tex] can be simplified to: [tex]\[
\frac{7}{3} \text{ lego planes}
\][/tex] - This can be written as: [tex]\[
\frac{7}{3}
\][/tex]
Thus, Johnny can build [tex]\( \frac{7}{3} \)[/tex] lego planes in 40 minutes.
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