Speed, distance and time Quiz - ICSE Class 7 Mathematics

Free practice quiz: Speed, distance and time (ICSE Class 7 Mathematics). 55 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 55 multiple-choice questions on Speed, distance and time, and 55 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. A train travels at a speed of 72 km/h. What is its speed in meters per second?

   1. 10 m/s
   2. 20 m/s
   3. 30 m/s
   4. 40 m/s
   Show answer

   Answer: B. 20 m/s

   To convert km/h to m/s, we multiply by 5/18. So, 72 km/h * (5/18) = 4 * 5 = 20 m/s.

2. Two trains start from the same station at the same time in the same direction. The first train travels at 60 km/h and the second at 75 km/h. What is the distance between them after 4 hours?

   1. 40 km
   2. 50 km
   3. 60 km
   4. 75 km
   Show answer

   Answer: C. 60 km

   Relative speed of the second train with respect to the first train = 75 km/h - 60 km/h = 15 km/h. Distance between them after 4 hours = Relative speed * Time = 15 km/h * 4 hours = 60 km.

3. A car travels from city A to city B at 50 km/h and returns from city B to city A at 70 km/h. What is the average speed for the entire journey?

   1. 50 km/h
   2. 58.33 km/h
   3. 60 km/h
   4. 65 km/h
   Show answer

   Answer: B. 58.33 km/h

   Let the distance between city A and city B be 'd' km. Time taken to go from A to B = d/50 hours. Time taken to return from B to A = d/70 hours. Total distance = d + d = 2d km. Total time = d/50 + d/70 = (7d + 5d) / 350 = 12d / 350 hours. Average speed = Total distance / Total time = 2d / (12d / 350) = 2d * (350 / 12d) = 700 / 12 = 350 / 6 = 175 / 3 km/h. 175 / 3 is approximately 58.33 km/h.

4. Two trains, traveling at 60 km/h and 80 km/h respectively, are moving in the same direction. What is the difference in the distance covered by them in 2 hours?

   1. 30 km
   2. 40 km
   3. 50 km
   4. 60 km
   Show answer

   Answer: B. 40 km

   Distance covered by the first train = 60 km/h * 2 hours = 120 km. Distance covered by the second train = 80 km/h * 2 hours = 160 km. The difference in distance = 160 km - 120 km = 40 km. Alternatively, relative speed = 80 - 60 = 20 km/h. Difference in distance = 20 km/h * 2 hours = 40 km.

5. A boat travels upstream at 10 km/h and downstream at 16 km/h. What is the speed of the current?

   1. 3 km/h
   2. 4 km/h
   3. 5 km/h
   4. 6 km/h
   Show answer

   Answer: A. 3 km/h

   Let the speed of the boat in still water be 'b' and the speed of the current be 'c'. Upstream speed = b - c = 10 km/h. Downstream speed = b + c = 16 km/h. Subtracting the first equation from the second: (b + c) - (b - c) = 16 - 10 => 2c = 6 => c = 3 km/h.

More questions in this quiz

Answers and explanations are in the full quiz.

1. A car covers a distance of 240 km in 4 hours. What is its average speed?
2. Two cyclists start from the same point at the same time. One cycles at 15 km/h and the other at 12 km/h. After 3 hours, how far apart will they be?
3. A person walks at 5 km/h. How long will it take them to walk 15 km?
4. If a car travels at a constant speed, and it covers 180 km in 3 hours, how far will it travel in 5 hours?
5. Two buses leave towns A and B towards each other at speeds of 40 km/h and 50 km/h respectively. The distance between towns A and B is 360 km. When will they meet?
6. A person walks from home to office at 4 km/h and returns at 6 km/h. If the total time taken is 5 hours, what is the distance between home and office?
7. A man walks around a square park. He completes one round in 4 minutes. If his speed is 75 meters per minute, what is the perimeter of the park?
8. A car travels the first 60 km of its journey in 2 hours and the next 90 km in 3 hours. What is its average speed for the entire journey?
9. A train moving at a speed of 72 km/h passes a platform in 15 seconds. If the length of the train is 150 meters, what is the length of the platform?
10. A man jogs at 10 km/h. How much time will he take to cover a distance of 15 km?
11. A car covers a distance of 400 meters in 20 seconds. What is its speed in km/h?
12. A man can swim at a speed of 10 km/h in still water. If the speed of the current is 2 km/h, what is his speed downstream?
13. A boat travels upstream at 15 km/h and downstream at 25 km/h. What is the speed of the boat in still water?
14. A car takes 5 hours to cover a certain distance. If it increases its speed by 10 km/h, it takes 4 hours to cover the same distance. What is the original speed of the car?
15. A person walks at 5 km/h and reaches his destination 1 hour late. If he walks at 6 km/h, he reaches 1 hour early. What is the distance to the destination?
16. A train passes a man standing on a platform in 10 seconds and passes the platform completely in 25 seconds. If the speed of the train is 54 km/h, what is the length of the platform?
17. A man walks a distance of 6 km in 3 hours. What is his speed in km/h?
18. If a person travels at 15 m/s, how far will they travel in 1 minute?
19. A car travels at 80 km/h. How many hours will it take to cover 320 km?
20. Two runners A and B run a 1000 m race. Runner A runs at 5 m/s and runner B runs at 4 m/s. How much distance does runner B cover when runner A finishes the race?
21. A train travels for 6 hours at a speed of 45 km/h. What distance does it cover?
22. A person walks at 4 km/h. How many minutes will it take to walk 2 km?
23. Two cars start from the same point at the same time in opposite directions. The first car travels at 50 km/h and the second at 60 km/h. What is the distance between them after 3 hours?
24. A train covers a distance of 450 km in 5 hours. What is its speed in m/s?
25. A cyclist travels at 18 km/h. How long will it take him to cover 36 km?
26. A plane flies at 800 km/h. How long will it take to fly 3200 km?
27. A train leaves station A at 8:00 AM and reaches station B at 12:00 PM. If the distance between station A and station B is 360 km, what is the average speed of the train?
28. A person walks at 3 km/h and reaches his destination 1 hour late. If he walks at 4 km/h, he reaches 1 hour early. What is the distance to the destination?
29. A motorcycle travels at 40 km/h for 2 hours and then at 60 km/h for 3 hours. What is the total distance covered?
30. A train traveling at 54 km/h passes a signal in 15 seconds. What is the length of the train?
31. A car travels the first 100 km in 2 hours and the next 150 km in 3 hours. What is its average speed for the entire journey?
32. A man walks at 4 km/h and arrives at his destination 45 minutes late. If he walks at 6 km/h, he arrives 45 minutes early. What is the distance to his destination?
33. A train moving at 10 m/s passes a bridge of length 200 meters in 30 seconds. What is the length of the train?
34. A runner completes a 10 km race in 40 minutes. What is her average speed in km/h?
35. A man travels uphill at 30 km/h and downhill at 40 km/h. If he travels the same distance uphill and downhill, what is his average speed?
36. A car travels for 5 hours at 60 km/h. How much more time would it take to cover the same distance if it traveled at 50 km/h?
37. A train travels at 54 km/h. How far does it travel in 10 seconds?
38. Two cyclists start from the same point at the same time. One cycles at 10 km/h north and the other at 12 km/h east. How far apart are they after 2 hours?
39. A car travels at 40 km/h for 3 hours. If it increases its speed by 20 km/h, how much time will it take to cover the same distance?
40. A car travels at 40 km/h for 3 hours. If it increases its speed by 20 km/h, how long will it take to cover the same distance?
41. A train travels at 60 km/h. How many meters does it travel in 1 second?
42. If a man walks 1 km in 10 minutes, what is his speed in km/h?
43. A car travels from A to B at 40 km/h and from B to A at 60 km/h. The total journey took 10 hours. What is the distance between A and B?
44. A train travels a distance of 300 meters in 30 seconds. What is its speed in km/h?
45. Two trains start at the same time from two stations 300 km apart and travel towards each other. One train travels at 50 km/h and the other at 70 km/h. When will they meet?
46. A man cycles at 15 km/h. How long will it take him to cycle 75 km?
47. A car travels at 90 km/h. How far will it travel in 30 seconds?
48. A train travels at a constant speed. If it covers 200 km in 4 hours, how much time will it take to cover 350 km?
49. A man travels uphill at 20 km/h and downhill at 30 km/h. The total time taken for the round trip is 5 hours. What is the distance covered uphill?
50. A car travels at 60 km/h for 3 hours and then at 80 km/h for 2 hours. What is the average speed for the entire journey?

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