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A motorcyclist drives from place A …

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A motorcyclist drives from place A to B with uniform speed of 30 km/hr and returns from place B to A with a uniform speed of 20km/hr.Find his average speed
  • 1 answers

Sia ? 6 years, 5 months ago

Let, The distance from point 'A' to point 'B'= AB = x,

Time taken to reach from A to B, when motorcyclist drives with speed 30 km h-1 = t1{tex}\frac{x}{30}{/tex}

Similarly,Time taken to reach from B to A, when motorcyclist drives with speed 20 km h-1 =  t2{tex}\frac{x}{20}{/tex}
Now, Total time = t1 + t2 {tex}=\frac{5 x}{60} h{/tex}
Average speed for entire journey = {tex}\frac{\text { Total distance }}{\text { Total time }}{/tex} = {tex}\frac{\ 2x}{\frac{5 x}{60}}{/tex}= 24 km h-1.

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