Unit 4: Time, Speed and Distance - Practice Quiz

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

2 Which formula is used to calculate time?

3 Convert km/h into m/s.

4 Convert m/s into km/h.

5 For a fixed time, if the speed of an object doubles, what happens to the distance covered?

6 What is the general formula for average speed?

7 A person covers equal distances at km/h and km/h. What is the average speed for the whole journey?

8 A car travels km in hours and then km in hour. What is its average speed?

9 When a train crosses a stationary pole, what distance does the train cover?

10 A train of length m crosses a platform of length m. What total distance must the train cover to cross the platform completely?

11 A m long train moves at km/h. How long does it take to cross a pole?

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

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

14 Two cars are km apart and travel toward each other at km/h and km/h. After how many hours will they meet?

15 What does the speed of a boat in still water mean?

16 A boat's speed in still water is km/h, and the stream speed is km/h. What is its downstream speed?

17 A boat's speed in still water is km/h, and the stream speed is km/h. What is its upstream speed?

18 A boat travels downstream at km/h for hours. How far does it travel?

19 A boat's downstream speed is km/h and its upstream speed is km/h. What is its speed in still water?

20 A boat's downstream speed is km/h and its upstream speed is km/h. What is the speed of the stream?

21 A bus starts at 7:40 a.m. and travels 180 km at a constant speed of 45 km/h. It also stops for 20 minutes during the journey. At what time does it reach its destination?

22 A car normally covers a 240 km journey at 60 km/h. If its speed is reduced by 20%, how much later will it complete the journey?

23 A runner maintains a speed of 7.5 m/s for 4 minutes. What distance does the runner cover in kilometres?

24 A journey takes 4 hours at a certain speed. If the speed is increased by 25% while the distance remains unchanged, how much time is saved?

25 A cyclist covers half of a journey at 60 km/h and the other half at 40 km/h. What is the average speed for the entire journey?

26 A vehicle travels for 2 hours at 45 km/h and then for 3 hours at 60 km/h. What is its average speed over the entire trip?

27 A 180 m long train crosses a pole in 12 seconds and a platform in 32 seconds. What is the length of the platform?

28 Two trains, 120 m and 180 m long, travel in opposite directions at 54 km/h and 36 km/h. How long do they take to cross each other completely?

29 Two trains of lengths 150 m and 100 m move in the same direction at 72 km/h and 54 km/h. How long does the faster train take to overtake the slower train completely?

30 A 150 m long train moving at 72 km/h crosses a 250 m long platform. How much time does it take to cross the platform completely?

31 Two cyclists start 75 km apart and ride toward each other at 18 km/h and 12 km/h. After how long will they meet?

32 A 240 m long train moving at 54 km/h overtakes a man walking at 6 km/h in the same direction. How long does the train take to pass him completely?

33 A boat travels at 18 km/h downstream and 10 km/h upstream. What are the speeds of the boat in still water and the stream, respectively?

34 A boat's speed in still water is 10 km/h, and the stream flows at 2 km/h. How long will the boat take to travel 24 km downstream and return to the starting point?

35 A boat covers 30 km downstream in 2 hours and the same distance upstream in 3 hours. What is the speed of the stream?

36 A car covers 300 km at a constant speed. If its speed were increased by 10 km/h, the journey would take 1 hour less. What is the original speed?

37 Two runners start together on a 400 m circular track and run in opposite directions at 6 m/s and 4 m/s. After how many seconds will they meet for the first time?

38 A 200 m long train crosses a 300 m long tunnel in 25 seconds. What is the speed of the train?

39 A car covers three equal sections of a journey at 30 km/h, 45 km/h, and 90 km/h. What is its average speed for the complete journey?

40 The ratio of a boat's downstream speed to its upstream speed is . If the stream speed is 2 km/h, what is the boat's speed in still water?

41 A bus traveling at reaches its destination minutes late. If it travels at , it reaches the destination minutes early. What are the journey distance and the scheduled travel time?

42 Increasing a traveler's usual speed by makes the traveler arrive minutes early. If the usual speed is instead reduced by , how late will the traveler arrive, assuming the departure time and distance remain unchanged?

43 Vehicle A covers at . Vehicle B covers a distance greater than A's at a speed lower than A's. By how much does B's travel time exceed A's?

44 A vehicle covers the first of a journey at and the remaining at . If the total travel time is hours minutes, what is the journey distance?

45 A traveler covers three consecutive sections at , , and , respectively. The traveler stops for minutes after each of the first two sections. What is the average speed for the entire journey, including stops?

46 A vehicle covers the first of a route at , the next at , and the remaining at a constant speed . If its average speed over the route is , what is ?

47 A car travels from P to Q at and returns along the same route at . During the return journey, it stops for minutes. If its average speed for the complete round trip, including the stop, is , what is the distance from P to Q?

48 A train crosses a man walking at in the opposite direction in seconds. The same train crosses a platform in seconds. What are the train's speed and length?

49 Train A crosses a pole in seconds, while train B crosses a pole in seconds. Traveling in the same direction, A completely overtakes B in seconds. If B's speed is , what is A's speed?

50 A train crosses a platform in seconds and a tunnel in seconds. How long will it take to overtake a cyclist moving at in the same direction?

51 Two trains take seconds to cross each other when moving in opposite directions and seconds when moving in the same direction. The faster train is long and crosses a pole in seconds. What is the length of the slower train?

52 Two runners start together on a circular track of circumference and run in opposite directions at and . At their first meeting, the faster runner rests for exactly seconds while the other continues. When do they meet for the second time, measured from the start?

53 An aircraft's windless round-trip time between two cities would be hours minutes. With a steady wind along the route, the actual round trip takes exactly hours. If the outward flight is with the wind, how long does that flight take?

54 A person walks at relative to a moving walkway. Walking with the walkway, the person reaches the other end in seconds; walking against it, the person takes seconds. How long would the person take to reach the other end while standing still on the walkway?

55 A motorboat covers downstream and upstream in a total of hours. If the stream speed is , what is the boat's speed in still water?

56 A raft covers in hours. A motorboat's downstream speed on the same river is twice its upstream speed. If the motorboat takes hours for a round trip between two points, what is the one-way distance?

57 A boat travels downstream and upstream in hours. If the stream speed were doubled while the boat's still-water speed remained unchanged, the same round trip would take hours. What is the original stream speed?

58 A boat whose still-water speed is travels downstream in a current and immediately returns. After it has covered of the upstream journey, the current instantly increases to . What is the total round-trip time?

59 Towns A and B are apart. A vehicle leaves A at 8:00 a.m. at , and another leaves B at 9:00 a.m. at . At their meeting point, the first vehicle rests for minutes while the second continues; it then resumes toward B. At what time are they first apart after meeting?

60 For a fixed journey, increasing the usual speed by reduces the travel time by exactly hour. Reducing the usual speed by increases the travel time by exactly hour. What are the usual speed and the journey distance?