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.
Play all 55 questions freeSample questions
A train travels at a speed of 72 km/h. What is its speed in meters per second?
- 10 m/s
- 20 m/s
- 30 m/s
- 40 m/s
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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.
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?
- 40 km
- 50 km
- 60 km
- 75 km
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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.
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?
- 50 km/h
- 58.33 km/h
- 60 km/h
- 65 km/h
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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.
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?
- 30 km
- 40 km
- 50 km
- 60 km
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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.
A boat travels upstream at 10 km/h and downstream at 16 km/h. What is the speed of the current?
- 3 km/h
- 4 km/h
- 5 km/h
- 6 km/h
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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.