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Sagot :
We are told to find what time Trent's watch will show when the real-time is 10:30 am
To do so, we will find the rate at which his watch moves
The rate is calculated as follow
[tex]Rate=\frac{\text{time covered}}{time\text{ elapsed}}[/tex][tex]\begin{gathered} \text{Rate}=\frac{\frac{1}{2}\text{hour}}{1\text{hour}}=\frac{1}{2}=0.5 \\ \\ \text{Rate}=0.5 \end{gathered}[/tex]With this rate, we can get the actual time the watch will show when the real-time is 10:30 am by multiplying the rate by the time difference
[tex]10\colon30am-8am=2\colon30\text{ hours}[/tex]
This time will then be converted to minutes
[tex]2\colon30\text{hours = 2(60)+30=120+30=150 minutes}[/tex]We will multiply this time in minutes by the rate
[tex]\begin{gathered} =0.5\times150 \\ =75\text{ minutes} \end{gathered}[/tex]So the time will be
[tex]\begin{gathered} 8\colon00+0\colon75 \\ =8\colon00+1\colon15 \\ =9\colon15am \end{gathered}[/tex]Thus, the time will be 9:15 am
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