Thief and the Policeman

Algebra Level pending

A thief is noticed by a policeman from a distance of 200m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 10km/hr and 11km/hr respectively. What is the distance between them after 6 minutes?

None of these 150m 160m 100m 120m

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1 solution

Zee Ell
Dec 16, 2016

Difference of the velocities: 10 km/h - 11 km/h = -1 km/h

Time specified: 6 mins = 0.1 h

Change in distance: -1 km/h × 0.1 h = - 0.1 km = -100m

Distance after 6 mins: 200 m + ( 100 m ) = 100 m \text {Distance after 6 mins: } 200 m + (-100 m) = \boxed {100 m}

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