Latest Gate Aptitude Question SOLUTION: A police patrol party travelling at 60 kmph crosses an escaping thief travelling in the opposite direction at 48 kmph.The police party has to travel for a further 5 minutes before

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(#M40105411) GATE Category question Keep an EYE

A police patrol party travelling at 60 kmph crosses an escaping thief travelling in the opposite direction at 48 kmph.The police party has to travel for a further 5 minutes before it can find a gap in the median where it can take a U turn and start chasing the thief.After how much time after the police party crosses the thief does it catch him?
a)25 mins b)50 mins c)15 mins d)32 mins

Asked In Gate Jaspalsingh Parmar (9 years ago)

Unsolved Read Solution (3)

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Ronald Reagan  (3 years ago)

Distance police patrol travels after crossing thief = 60 kmph * 5 min = 5 km (convert time to hours)
DIsttance thief travelled after crossing police patrol = 48 kmph * 5 min = 4 km

Hence, the distance between police patrol and thief after police patrol has taken a U-turn is 5 + 4 = 9 km

Time at which they will meet = 9/(60-48) = 9/12 hours = 45 minutes

So, in 45 minutes after police patrol takes a U-turn, will it reach the thief. Adding the 5 minutes that the police patrol took after crossing the thief for the first time, will we reach the required time, i.e. After how much time after the police party crosses the thief does it catch him?

Answer is: 45 + 5 = (b) 50 mins

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Aman sharma  (5 years ago)

Ans :15 min

Is this solution Helpfull? Yes | No (5)  

vimmi kaushal  (4 years ago)

correct answer is 50 mins

Is this solution Helpfull? Yes | No (4)  

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