A policeman starts to chase a thief . When the thief goes 10 steps the policeman moves 8 steps . 5 steps of the policeman are equal to 7 steps of the thief . The ratio of the speed of the policeman and the thief is :
Answer & explanation
Correct answer: option 2
5 steps of Policeman(P) is equal to 7 steps of Thief(T)
i.e. 5P = 7T
P = \(\frac{7T}{5}\)
\(\frac{Speed\;of \; Police}{Speed\;of \; Thief}\) = \(\frac{8P}{10T}\)
\(\frac{8\;×\;\frac{7T}{5}}{10T}\) = \(\frac{56}{50}\)
Ratio of speed of Police : Thief = 28 : 25