A thief started running from point X at a speed of 20 km/hr, after running for 30 minutes, when he watched the police at the distance of 400 m coming from opposite direction at the speed of 30 km/hr, he turned and started running at 25 km/hr in the same direction as of police. After how much distance from point X police will catch the thief?
Answers
Given : A thief started running from point X at a speed of 20 km/hr,
after running for 30 minutes, when he watched the police at the distance of 400 m coming from opposite direction at the speed of 30 km/hr,
he turned and started running at 25 km/hr in the same direction as of police.
To Find : After how much distance from point X police will catch the thief?
Solution:
From point X at a speed of 20 km/hr, for 30 minutes
Distance from X = 20 * (30/60) = 10 km
thief turned and started running at 25 km/hr
police man at speed of 30 km/hr
Relative speed = 5 km/hr
relative distance = 400 m = 0.4 km
time = 0.4/5 hr = 0.4 * 12 = 4.8 minutes
Distance covered in 4.8 minutes = 25 * 4.8/60 = 2 km
Hence Distance form point X = 10 - 2 = 8 km
distance from point X police will catch the thief = 8 km
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