D.10 Number of steps and length of stride

While Taro takes four steps forward, Jiro takes five steps forward. 

Jiro goes to the distance by three steps to which Taro goes by two steps. 
Find the ratio of the speed of Taro and Jiro ? 

















Answer
6:5

Solution
Speed is described by (length of one step) × (number of steps of a definite period of time).

Since Jiro goes the distance by three steps which Taro goes by two steps, the length of one step of Jiro is 2 when that of Taro sets to 3.

Since Jiro takes five steps forward with the lenght of step 2 while Taro takes four steps forward with the lenght of step 3, the ratio of speed of Taro and Jiro is (3×4) : (2×5) = 12 : 10 = 6 : 5.