Respuesta :
Given:
• She drives for 20.0 min at 83.0 km/h
,• Also, she drives for 41.0 min at 44.0 km/h
,• 42.0 min at 50.0 km/h
,• She spends 5.0 minutes eating and buying gas.
Let's find the following:
(a) Determine the average speed for the trip.
To find the average speed, apply the formula:
[tex]\text{speed}=\frac{\text{total distance}}{time\text{ travelled}}[/tex]To find the total distance, we have:
[tex]\begin{gathered} \text{distance}=\text{speed}\ast time \\ \\ \text{distance}=(\frac{20}{60}\ast83)+(\frac{41}{60}\ast44)+(\frac{42}{60}\ast50) \\ \\ Total\text{ distance=(}0.33\ast83)+(0.683\ast44)+(0.7\ast50) \\ \\ \text{Total distance = }27.67+30.07+35 \\ \\ \text{Total distance=}92.74\text{ km} \end{gathered}[/tex]The total distance travelled is 92.74 km
• Total time travelled:
[tex]\begin{gathered} Time=20+41+42+5=108\text{ mins} \\ \\ \text{Convert to hour:}\frac{108}{60}=1.8\text{ hours} \end{gathered}[/tex]Therefore, to find the average speed, we have:
[tex]\text{Avg. sp}eed=\frac{Total\text{ distance}}{Time}=\frac{92.74}{1.8}=51.52\text{ km/h}[/tex]Therefore, the average speed for the trip is 51.52 km/h
(b) Total distance travelled.
From part A, the total distance travelled has already been calculated.
Total distance = 92.74 kilometers.
