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NIELIT Scientist B 2020 November: 36

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Arjun by car takes double the time taken by bus to travel from Delhi to Agra. What is the Speed of the Bus if the Speed of the Car is $40\;km/hr$?

  1. $40\;km/hr$
  2. $60\;km/hr$
  3. $80\;km/hr$
  4. $30\;km/hr$
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Given that:

Times taken by Arjun $:T_{\text{car}} = 2 T_{\text{bus}}$

Speed of the car $ S_{\text{car}}= 40\:\text{km/hr}$

We know that, $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} $

Here, distance is constant,so $\text{Speed} \propto \dfrac{1}{\text{Time}}$

Now, $\dfrac{S_{\text{bus}}}{S_{\text{car}}} = \dfrac{T_{\text{car}}}{T_{\text{bus}}}$

$\implies \dfrac{S_{\text{bus}}}{40} = \dfrac{2T_{\text{bus}}}{T_{\text{bus}}}$

$\implies S_{\text{bus}} = 80\:\text{km/hr.}$

So, the correct answer is $(C).$
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