Unit 4: Time, Speed and Moving Objects - Practice Quiz

1 Which formula is used to calculate speed?

2 A car travels at km/h for hours. What distance does it cover?

3 Convert km/h into m/s.

4 For a fixed distance, what happens to the travel time if the speed is doubled?

5 A vehicle travels km in hours. What is its average speed?

6 A car travels equal distances at km/h and km/h. What is its average speed for the entire journey?

7 How long will a train traveling at km/h take to cover km?

8 A car covers a journey in hours at km/h. How long will it take at km/h?

9 The speeds of two cars are in the ratio . If the slower car travels at km/h, what is the speed of the faster car?

10 Two vehicles cover the same distance with speeds in the ratio . What is the ratio of their travel times?

11 In a m race, A runs at m/s and B runs at m/s. By how many metres does A win?

12 A runner completes a m race at a constant speed of m/s. How much time does the runner take?

13 Two cars move in opposite directions at km/h and km/h. What is their relative speed?

14 Two trains move in the same direction at km/h and km/h. What is their relative speed?

15 Two cyclists start from the same point and travel in opposite directions at km/h and km/h. How far apart are they after hours?

16 A car moving at km/h is km behind a bus moving in the same direction at km/h. How long will the car take to catch the bus?

17 A boat moves at km/h in still water, and the stream speed is km/h. What is its downstream speed?

18 A boat moves at km/h in still water, and the stream speed is km/h. What is its upstream speed?

19 The downstream speed of a boat is km/h and its upstream speed is km/h. What is the speed of the boat in still water?

20 The sum of two vehicle speeds is km/h, and their difference is km/h. What is the speed of the faster vehicle?

21 A car travels at a constant speed of . How far does it travel in minutes?

22 A train moving at passes a signal post. How far does it travel in seconds?

23 A journey takes minutes at a certain speed. If the speed is increased by , how long will the same journey take?

24 A cyclist covers the first half of a journey at and the second half at . What is the average speed for the entire journey?

25 A bus travels at , stops for minutes, and then travels at . What is its average speed for the whole trip, including the stop?

26 At , a student reaches college minutes late. At , the student reaches minutes early. What is the distance to the college?

27 The speeds of two vehicles are in the ratio . The slower vehicle takes minutes longer to cover the same distance. How long does the faster vehicle take?

28 In a race, A beats B by . In a race, B beats C by . By how many metres will A beat C in an race?

29 Two runners start together on a circular track of length and run in the same direction at and . After how much time will the faster runner first overtake the slower runner?

30 Two trains of lengths and move in opposite directions at and . How long do they take to cross each other completely?

31 A long train moving at overtakes a man walking in the same direction at . How long does the train take to pass him completely?

32 Two cars start simultaneously from cities apart and travel toward each other. Their speeds are in the ratio , and they meet after hours. How far does the slower car travel before they meet?

33 A boat travels at downstream and upstream. What are its speeds in still water and of the stream, respectively?

34 A boat covers downstream in hours and upstream in hours. How far can it travel downstream in hours?

35 Increasing a vehicle's usual speed by saves hour on a journey. Decreasing its usual speed by adds hours. What are the usual speed and journey distance?

36 Two cyclists move in the same direction. The sum of their speeds is , and the faster cyclist gains on the slower cyclist every hour. What are their speeds?

37 A runner covers in seconds. What is the runner's speed in kilometres per hour?

38 A driver covers the first one-third of a journey at and the remaining two-thirds at . What is the average speed for the entire journey?

39 A boat covers downstream in hours and the same distance upstream in hours. What is the speed of the stream?

40 Runner A runs at and runner B at . What head start should B receive in a race so that both finish together?

41 A traveler covers the first of a journey at speed , the next at speed , and the remaining half at speed . The total stopping time equals of the total moving time. If the overall average speed is km/h, what is ?

42 Vehicle A has wheels of diameter cm rotating at revolutions per second. Vehicle B travels faster than A and has wheels of diameter cm. Assuming no slipping, at what rate do B's wheels rotate?

43 On an outward journey, the distances of three consecutive legs are in the ratio , and the corresponding speeds are , , and km/h. The entire return journey is made over the same route at a constant km/h. What is the average speed for the complete round trip?

44 A vehicle is scheduled to cover km at a constant speed. After covering km at the scheduled speed, its speed decreases by for the remainder, causing it to arrive minutes late. What was the scheduled speed?

45 The speeds of A and B are in the ratio . B starts toward a destination minutes before A, but A reaches the destination minutes before B. At what fraction of the total distance does A overtake B?

46 In separate m races, A beats B by m, and B beats C by m. What head start must C receive in a m race against A for the race to end in a dead heat?

47 Train A passes a pole in seconds and a m platform in seconds. It crosses a m train B moving in the opposite direction in seconds. How long would A take to overtake B if both moved in the same direction at the same respective speeds?

48 A person walking at a constant rate crosses a moving walkway in seconds when walking with its motion and in seconds when walking against it. How long would the person take to cross while standing still on the walkway?

49 A boat covers km downstream and km upstream in hours. It also covers km downstream and km upstream in hours. What are the speeds of the boat in still water and the stream, respectively?

50 For a journey, increasing a vehicle's usual speed by km/h reduces the travel time by hours, while decreasing it by km/h increases the travel time by hours. What are the usual speed and journey distance?

51 A wheel of radius m rotates at revolutions per minute for minutes. Because of slipping, the actual distance covered is less than the theoretical distance. Using , what distance is actually covered?

52 A car covers three consecutive equal-distance legs at , , and km/h. It stops for minutes after each of the first two legs. If its overall average speed is km/h, what is the total journey distance?

53 A vehicle plans to travel at km/h. It covers the first half of the distance at of the planned speed and the second half at of the planned speed, arriving minutes late. What is the total distance?

54 The speeds of A and B are in the ratio , with B traveling km/h faster. They cover the same distance. A stops for minutes in total, while B stops for minutes, and both have the same total elapsed journey time. What distance does each cover?

55 An aircraft flies km with a steady wind and returns over the same route against it. The round trip takes hours. In still air, the same round trip would take hours. What is the wind speed?

56 A motorboat completes a downstream journey in hours, including a -minute interval during which its engine is switched off and it drifts with the stream. It covers the same distance upstream in hours without stopping. How long would a freely drifting raft take to cover that downstream distance?

57 Train A passes a pole in seconds, while train B passes a pole in seconds. When moving in opposite directions, they completely cross each other in seconds. What is the ratio of the length of A to the length of B?

58 A vehicle moves at km/h and must rest for exactly minutes after every completed hour of driving. No rest is taken after reaching the destination. What is its average speed over a km journey, including required rests?

59 In an m race, A gives B an m head start and still beats B by m. In another m race, A gives C a m head start and they finish together. By what distance would B beat C in a level m race?

60 A m train passes a person walking in the same direction in seconds and passes another person walking at the same speed in the opposite direction in seconds. How long will the train take to pass a m platform?