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A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
Answer & Solution
Correct Answer:
Option
A
Relative speed of the thief and policeman :
= (11 - 10) km/hr
= 1 km/hr
Distance covered in 6 minutes :
$$\eqalign{ & = \left( {\frac{1}{{60}} \times 6} \right){\text{km}} \cr & = \frac{1}{{10}}{\text{ km}} \cr & = 100{\text{ m}} \cr} $$
∴ Distance between the thief and policeman :
= (200 - 100) m
= 100 m
= (11 - 10) km/hr
= 1 km/hr
Distance covered in 6 minutes :
$$\eqalign{ & = \left( {\frac{1}{{60}} \times 6} \right){\text{km}} \cr & = \frac{1}{{10}}{\text{ km}} \cr & = 100{\text{ m}} \cr} $$
∴ Distance between the thief and policeman :
= (200 - 100) m
= 100 m
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