# A Car Travels Along A Straight Line For First Half Time With Speed 40Km/Hr And The Second Half Time With Speed 60Km/Hr. Find The Average Speed Of Car.

Given:

Speed 1 = 40 Km/h

Speed 2 = 60 Km/h

Let the total time be t

For the first half time (t/2), the car travels At the speed of 40 Km/h

Distance travelled, D1 = Speed * time

$$\Rightarrow 40 * t/2$$ $$\Rightarrow 40t/2 km$$

For the second half time (t/2), the car travels at the speed of 60 Km/hr

Distance travelled, D2 = Speed * time

$$\Rightarrow 60 * t/2$$ $$\Rightarrow 60t/2 km$$

Therefore, Average Speed =$$\frac{Total Distance}{Total Time}$$ $$\Rightarrow \frac{D1 + D2}{t}$$ $$\Rightarrow \frac{40t/2 + 60t/2}{t}$$ $$\Rightarrow \frac{100t/2}{t}$$ $$\Rightarrow 50Km/hr$$

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