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Aptitude · Q229

Ratio

Competitive Exams · Aptitude · question 229

Q229

A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 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 = ?

A.
25 : 28
B.
25 : 26
C.
28 : 25
Answer
D.
56 : 25

Answer: Option C

Solution

Answer: Option C
Solution:
The distance covered by policeman in 5 steps is equal to that of thief in 7 steps
⇒ 5P = 7T
P : T
7 : 5 (distance covered in each step)
⇒ And policeman goes 8 steps while thief moves 10 steps
    Policeman   :   Thief
Steps   8   :   10
Distance in each step     7   :   5
    56   :   50
Speed   =   28   :   25