1.

Athlete covers double the distance in 1/3rd of time than a regular boy. What is the ratio of the speed of the boy to the speed of the athlete?1. 1 : 62. 6 : 13. 2 : 34. 3 : 2

Answer» Correct Answer - Option 1 : 1 : 6

Given:

Athlete = double distance, 1/3 of time

Formula used:

Speed = Distance / time

Calculations:

Let Distance covered by boy be D, speed be S and time be T,

⇒ Distance by athlete D’ = 2 × D

⇒ Time taken by athlete T’ = (1/3) × T

⇒ Speed of boy S = D / T     ____(1)

⇒ Speed of athlete = D’ / T’

⇒ Speed of athlete = 2 × D / ((1/3) × T)

⇒ S’ = 6 × (D / T)

⇒ S’ = 6 × S     ____(From Eqn (1))

⇒ S / S’ = 1 / 6

∴ The required ratio is 1 : 6 


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