Gate Exam Category

Two points A and B are diametrically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds.He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round.What is the interval between the first time he passes through B and the third time he passes through B?
a)200 mins b)100 mins c)85 mins d)170 mins

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Gate Other Question
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
I had to catch a bus which was 225 m ahead of me. The bus also started at the same time. If the speed of the bus was 2.5 m/sec and my speed was 36 kmph, in how much time can i catch the bus?
a)20 seconds b)25 seconds c)30 seconds d)40 seconds