Gate Exam Category

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

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Gate Other Question

Akash,Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m , 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?
a)20 seconds b)60 seconds c)120 seconds d)180 seconds
In a 1000 m race A reaches the goal 5 seconds earlier and beats B by 50 m.What is A speed?
a)10 m/s b)10 10/19 m/s c)9 9/19 m/s d)11 9/19 m/s