A thief is spotted by a policeman from a distance of 100
m. When the policeman starts the chase, the thief also
starts running. If the speed of thief be 4 kmh"
1
and that of
the policeman 10 kmh
1
, how far will the thief have to run
before he is caught?

Question

A thief is spotted by a policeman from a distance of 100 
m. When the policeman starts the chase, the thief also 
starts running. If the speed of thief be 4 kmh"
1
 and that of 
the policeman 10 kmh
1
, how far will the thief have to run 
before he is caught?

zpupster · Answer

lets find the relative speed:
police speed - thief speed = relative speed
10 - 4 = 6 km /hr= 6000m/hr

figure out the time taken for 100 m
100m/6000m/ hr = 1/60 hr = 1 minute

distance traveled by thief in one minute
4000m/hr)((1)/60hr)= 4000/60 = 66.67 m