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A motorist travelled on an expressway for 2 hours at 80 km/h. He thentravelled for another 3 hours at 70 km/h. Find his average speed forthe whole journey2 h, 80 km/h3 h, 70 km/h? km/h

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Average Speed

The average speed can be calculated as the total distance traveled by the total time taken to do so:


\bar{v}=(x)/(t)

The total distance is the sum of the individual distances traveled at different speeds for different times.

Distance 1: 2 hours at 80 km/h


x_1=2\cdot80=160\text{ }\operatorname{km}

Distance 2: 3 hours at 70 km/h


x_2=3\cdot70=210km

The total distance is: x = 160 km + 210 km = 370 km

The total time is t = 2 h + 3 h = 5 h

Now calculate the average speed:


\begin{gathered} \bar{v}=(370)/(5) \\ \bar{v}=74\text{ }\frac{\operatorname{km}}{h} \end{gathered}

The average speed was 74 km/h

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