Gate Exam Category

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

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Gate Other Question

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
The distance from my house to my friends house is 12 km. I walked at a speed of 4 kmph and after every kilometre took rest for 10 mins.How much time did it take for me to reach my friends house?
a)3 hrs b)4 hrs and 50 mins c)5 hrs d)none of these