Unit 4: Time, Distance, Trains, Boats and Streams - Practice Quiz

1 Which formula is used to calculate speed?

2 A car travels km in hours. What is its speed?

3 If a person walks at a constant speed, what happens to the distance travelled when the time is doubled?

4 A cyclist travels km at a speed of km/h. How much time does the journey take?

5 How many metres are there in kilometre?

6 What is km/h expressed in m/s?

7 What is m/s expressed in km/h?

8 If speed is constant, distance is directly proportional to which quantity?

9 A distance of metres is equal to:

10 What is the formula for average speed?

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

12 A vehicle travels equal distances at km/h and km/h. Which statement about its average speed is correct?

13 A bus covers km in hours. What is its average speed?

14 If a vehicle covers the same distance in less time, its average speed will:

15 When two objects move in the same direction, their relative speed is found by:

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

17 A train passes a stationary pole in seconds. Which length does the train cover while passing the pole?

18 A train of length m travels at m/s. How long does it take to pass a pole?

19 A boat moving in the direction of the river current is said to be moving:

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

21 A car travels at km/h for the first hours and then at km/h for the remaining km. What is the total time taken for the journey?

22 A student takes minutes to reach college at a certain speed. If the student's original speed and increased speed are in the ratio , how much time is saved?

23 A vehicle moving at km/h covers what distance in seconds?

24 A cyclist travels at m/s. What is the cyclist's speed in km/h?

25 A car consumes litres of fuel to travel km. At the same rate of consumption, how much fuel will it require to travel km?

26 A person travels from one town to another at km/h and returns along the same route at km/h. What is the average speed for the entire journey?

27 A bus travels km at km/h and then km at km/h. What is its average speed over the complete journey?

28 A vehicle travels for hours at km/h, hour at km/h, and hour at km/h. What is its average speed?

29 Two runners start from the same point on a m circular track and run in opposite directions at m/s and m/s. After how much time will they meet for the first time?

30 A train m long crosses a stationary pole in seconds. What is the speed of the train?

31 A train m long crosses a platform m long in seconds. What is the speed of the train?

32 Two trains of lengths m and m move in opposite directions at km/h and km/h. How long do they take to cross each other completely?

33 Two trains m and m long travel in the same direction at km/h and km/h. How long will the faster train take to overtake the slower train completely?

34 A train m long moves at km/h. A man runs at km/h in the direction opposite to the train. How long does the train take to pass him?

35 A boat moves at km/h in still water, while the stream flows at km/h. How long will the boat take to travel km downstream?

36 A boat covers km downstream in hours and the same distance upstream in hours. What is the speed of the boat in still water?

37 A boat's speed in still water is km/h, and the stream speed is km/h. How much time is required to travel km downstream and return to the starting point?

38 A boat travels km upstream in hours. If the stream speed is km/h, what is the speed of the boat in still water?

39 For the same distance, a boat takes hours downstream and hours upstream. If its speed in still water is km/h, what is the speed of the stream?

40 A boat travels km upstream when its still-water speed is km/h and the stream speed is km/h. If the stream speed doubles, how much additional time will the same upstream journey take?

41 A driver finds that traveling at km/h above the planned speed would make him arrive minutes early, while traveling at km/h below the planned speed would make him arrive hour late. If the distance is km, what is the planned speed?

42 P starts from A toward B at km/h. Q starts from A along the same route minutes later at km/h but reaches B minutes before P. What is the distance from A to B?

43 A vehicle is scheduled to complete a trip at a constant speed. After traveling for hours, it stops for minutes and must increase its speed by for the remaining distance to arrive on time. Had the stop occurred km earlier, an increase of only would have sufficed after the same stop. What is the trip distance?

44 A car has front and rear tire circumferences of m and m respectively. A faulty distance counter averages the numbers of rotations made by one front and one rear tire, then multiplies that average by m. What distance will it report when the car actually travels km?

45 On a map with scale , a route measures cm. A vehicle covers the first of the actual route at m/s and the remainder at km/h, with an -minute halt between the two parts. What is the total elapsed time?

46 A wheel of diameter cm rotates at revolutions per minute, using . For minutes its rotational rate is reduced in the ratio , after which it rotates normally for minutes. Assuming no slipping, what total distance does the wheel cover?

47 A traveler covers three equal distances at speeds of km/h, km/h, and km/h. If the average speed for the complete journey is km/h, what is ?

48 A vehicle covers of a route at km/h, the next of the route at km/h, and the remainder at km/h. What is its average speed for the entire route?

49 A bus travels a km route at a constant running speed of km/h. It stops for exactly minutes after every completed km segment, except that no stop is counted after reaching the destination. What is its average speed from departure to arrival?

50 A traveler covers a km outward journey by traveling the first half at km/h and the second half at km/h. On the return journey, the traveler maintains a constant speed but takes a -minute halt. If the average speed for the complete round trip is km/h, what is the return running speed?

51 A train passes a person walking at km/h in the same direction in seconds. It passes the same person walking at the same speed in the opposite direction in seconds. What is the length of the train?

52 Train A is m long and moves at km/h. Train B is m long and moves in the same direction at km/h. At a certain instant, the front of B is m behind the rear of A. How long will B take to overtake A completely?

53 Train A is m long and crosses a pole in seconds. Train B crosses a pole in seconds. When moving in opposite directions, the two trains cross each other completely in seconds. What is the speed of train B?

54 A train crosses a m platform in seconds and a m bridge in seconds. At the same speed, how long will it take to cross an m tunnel completely?

55 Two trains of lengths m and m move toward each other at km/h and km/h. At the observed instant, their front ends are km apart. How much time will pass before the trains have completely cleared each other?

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

57 A motorboat and a raft start together from point P. The boat travels km upstream, turns immediately, and catches the raft at a point km downstream from P. If the boat's speed in still water is km/h, what is the stream speed?

58 A boat travels km downstream and then km upstream. The complete journey takes hours, and the upstream part takes hours longer than the downstream part. What is the speed of the stream?

59 A motorboat takes hours to travel from P to Q downstream and hours to return upstream. How long would a freely drifting object take to travel from P to Q?

60 A boat travels km upstream and returns over the same route in hours. Its downstream speed is km/h. If the stream speed suddenly doubles while the boat's still-water speed remains unchanged, how much additional time will the boat require to cover the same km upstream?