Question

A policeman start to chase a thief. When the thief goes 10 steps the policeman moves 8 steps, 5 steps of the policeman is equal to 7 steps of the thief. The ratio of the speeds of the policeman and the thief is

• A. 25 : 28
• B. 25 : 56
• C. 28 : 25
• D. 56 : 25

Answer 1

The correct option is C 28 : 25

Given that,
5P = 7T $\Rightarrow P=\frac{7}{5}T$
$\frac{SpeedofPolice}{SpeedofThief}$ =$\frac{8P}{10T}$

$=\frac{8\times \frac{7}{5}T}{10T}=\frac{56}{50}$
Ratio of speed of Police : Thief= 28 : 25