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NDA || Mathematics || Arithmetic || Time and Distance || Quiz 2020

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Question 1

A particle is moving with uniform acceleration along a straight line ABC, where AB a BC The average velocity of the particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s is

Question 2

A train after 3 hours from starting meets with an accident which detain it from an hour. After this, the train proceeds at 75% of its former speed and arrives 4 hours late. Had the accidents happened 150 km farther along the line, it would have arrived only  hours late if it travelled with 75% of its natural speed. Find the natural speed of the train and total distance of the journey?

Question 3

In covering a certain distance, the average speeds of X and Y are in the ratio 4 : 5. If X takes 45 minutes more than Y to reach the destination, then what is the time taken by Y to reach the destination?

Question 4

The distance between two points (A and B) is 110 km. X starts running from point A at a speed of 60 km/hr and Y starts running from point B at a speed of 40 km/hr at the same time. They meet at a point C, somewhere on the line AB. What is the ratio of AC to BC?

Question 5

A train travels at a speed of 40 km/hr and another train at a speed of 20 m/s. what is the ratio of speed of the first train to that of the second train?

Question 6

Two places X and Y are 182km apart. A train leaves X for Y and simultaneously another train leaves Y for X. They meet at the end of 7 hours. If the former train travels 9 km/hour faster than the other, then the speed of the train from Y is –

Question 7

Two persons A and B starts simultaneously from two places c km apart, and walk in the same direction. If A travels at the rate of p km/hr and B travels at the rate of q km/hr, then A has travelled, before he overtakes B, a distance of

Question 8

A person goes to a market between 4 p.m. and 5 p.m. When he comes back, he finds that the hour hand and minute hand have interchanged their positions. For how much time (approximately) was he out of his house?

Question 9

With a uniform speed, a car covers a distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 hours and 30 minutes. What is the distance covered?

Question 10

A car travels the first one-third of a certain distance with a speed of 10 km/hr, the next one-third distance with a speed of 20 km/hr and the last one-third distance with a speed of 60 km/hr. The average speed of the car for the whole journey is
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