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On 60 km track ,a train …

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On 60 km track ,a train travels the first 30 km at a uniform speed of 30 km/h. How fast must the train travel the next 30 km so that the average speed is 40km/h for the entire trip?
  • 1 answers

Sia ? 6 years, 4 months ago

{tex}{{\text{V}}_{{\text{avg}}}}{\text{ = }}\frac{{{{\text{S}}_{\text{1}}}{\text{ + }}{{\text{S}}_{\text{2}}}}}{{{{\text{t}}_{\text{1}}}{\text{ + }}{{\text{t}}_{\text{2}}}}}{/tex}
{tex}{\text{ = }}\frac{{{\text{S + S}}}}{{{\text{S}}\left( {\frac{{\text{1}}}{{{{\text{V}}_{\text{1}}}}}{\text{ + }}\frac{{\text{1}}}{{{{\text{V}}_{\text{2}}}}}} \right)}}{/tex}
{tex}{\text{ = }}\frac{{{\text{2}}{{\text{V}}_{\text{1}}}{{\text{V}}_{\text{2}}}}}{{{{\text{V}}_{\text{1}}}{\text{ + }}{{\text{V}}_{\text{2}}}}}{/tex}

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