Gate Exam Category

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

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Gate Other Question

A parachutist,before he opens his parachute,falls for a time t1,and covers a distance of 5t1^2 and after he opens his parachute he falls for a time t2 and covers a distance Vt2.V is the velocity attained just before the parachute is opened and is given by 5t1.After what time did he open the parachute,if the total distance covered by the parachutist is 1500m and the total time is 30 seconds?
a)10 seconds b)20 seconds c)18 seconds d)12 seconds
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