A cyclist and a jogger cover a certain distance at a certain speed. If the jogger covers one-third of the distance covered by cyclist in double of the time as that taken by the cyclist, the ratio of the speed of the jogger to that of the cyclist is:

Correct option is C

दिया गया है:

साइकिल चालक द्वारा तय की गई दूरी = D
जॉगर द्वारा तय की गई दूरी = D/3
साइकिल चालक द्वारा लिया गया समय = T
जॉगर द्वारा लिया गया समय = 2T
प्रयुक्त सूत्र:

$\text{गति} = \dfrac{\text{दूरी}}{\text{समय}}$
Solution:
$\text{साइकिल चालक की गति} = \dfrac{D}{T} \\[6pt]\text{जॉगर की गति} = \dfrac{\tfrac{D}{3}}{2T} = \dfrac{D}{6T} \\[6pt]\text{जॉगर की गति और साइकिल चालक की गति का अनुपात} = \dfrac{\tfrac{D}{6T}}{\tfrac{D}{T}} = \dfrac{D}{6T} \times \dfrac{T}{D} = \dfrac{1}{6} \\[6pt]\therefore \ \text{अभीष्ट अनुपात} = 1 : 6$
जॉगर की गति का साइकिल चालक की गति से अनुपात = 1 : 6

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A cyclist and a jogger cover a certain distance at a certain speed. If the jogger covers one-third of the distance covered by cyclist in double of the time as that taken by the cyclist, the ratio of the speed of the jogger to that of the cyclist is:

1 : 9

9 : 1

1 : 6

6 : 1

Correct option is C

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