A. Solve the problems.1. Solve the problem.

Mr. Lee takes 250 seconds to run 1000 m. Find his average running speed.1000 ÷ 250 = 4 His average running speed is 4 m/s.

2. Solve the problem.

A car completed a journey of 120 km in hours. Find its average speed.

Its average speed wa s 48 km/h.

3. Solve the problem.

Winnie took part in the Grade A Women’s 200 m race. It took her 48 seconds. Find her average running speed. (Give your answer correct to one decimal place.)200 ÷ 48 = 4.2 (correct to one decimal place) Her average running speed wa s 4.2 m/s.

4. Solve the problem.

Maggie took 0.25 hour to complete a journey of 1.2 km. Find her average speed. 1.2 ÷ 0.25 = 4.8 H er average speed wa s 4.8 km/h.

21

2

120 ÷ 21

2

= 120 ÷562

= 120 ×2

5

= 48

5. Solve the problem.

A ferry sailed 292 km from place A to place B for 8 hours. Find the average sailing speed of the ferry.292 ÷ 8 = 36.5 The average sailing speed of the ferry wa s 36.5 km/h.

6. Solve the problem.

A train travelled 171.25 km for 2.5 hours. Find the average speed of the train.171.25 ÷ 2.5 = 68.5 The average speed of the train wa s 68.5 km/h.

7. Solve the problem.

John jogged 2.5 km for 0.5 hour. Find his average jogging speed.2 .5 ÷ 0.5 = 5 His average jogging speed was 　 5 　 km/h.

8. Solve the problem.

A bee flied 93 m for 18 seconds. Find the average flying speed of the bee. (Give your answer correct to 2 decimal places.)93 ÷ 18 = 5 .17 (correct to 2 decimal places) The average flying speed of the bee was 　 5.17 　 m/s.

9. Solve the problem.

It took a train 2.5 hours to go from city A to city B at an average speed of 65 km/h. Find the distance between the two cities.65 × 2.5 = 162.5 The distance between the two cities is 　 162.5 　 km.

10. Solve the problem.

Mr. Cheung cycled at an average speed of 12 km/h. He reached his

destination after hour. How many kilometres has he cycled?

3

4

12 ×3

4

Mr. Cheung has cycled 9 km.

11. Solve the problem.

The average running speed of Peter is 4.6 m/s. How many metres can he run in 10 seconds?4.6 × 10 = 46 He can run 　 46 　 m in 10 seconds.

12. Solve the problem.

The average flying speed of a butterfly is 2.15 m/s. How many metres can it fly in 24 seconds?2.15 × 24 = 51.6 It can fly 　 51.6 　 m in 24 seconds.

13. Solve the problem.

Two cars departed from the same place at the same time but in opposite directions. Their speeds were 44.5 km/h and 38.5 km/h respectively. How many kilometres were they apart from each other after 3 hours? (44.5 + 38.5) × 3 = 83 × 3 = 249 They were 　 249 　 km apart from each other.

14. Solve the problem.

An ostrich ran for 1.2 hours at an average speed of 40 km/h. How many kilometres has it run altogether?40 × 1.2 = 48 It has run 　 48 　 km altogether.

15. Solve the problem.

A model speedboat takes 42 seconds to go around a pool. The average speed of the speedboat is 2.15 m/s. What is the perimeter of the pool?2.15 × 42 = 90.3 The perimeter of the pool is 　 90.3 　 m.

= 9

16. Solve the problem.

A plane started flying at 10 o’clock in the morning at an average speed of 650 km/h. It reached its destination at 12:24 in the afternoon. How many kilometres has it travelled?650 × 2.4 = 1560 It has travalled 1560 km.

17. Solve the problem.

Two cars departed from the same place at the same time. They travelled to the same destination which is 450 km away. The average speeds of car A and car B were 45 km/h and 40 km/h respectively. When car A finished the journey, how far was car B still away from the destination? 450 40 × ( 450 ÷ 45 ) = 450 40 × 10 = 450 4 00 = 50 When car A finished the journey, car B was still 50 km away from the destination.

18. Solve the problem.

A ferry is sailing to a city 65 km away at 13:20. The average speed of the ferry is 26 km/h. When will it arrive in that city?65 ÷ 26 = 2.5 The ferry has travalled for 2.5 hours. It will arrive the city at 15:50.

19. Solve the problem.

A plane starts flying from city A to city B at 09:15. The distance between the two cities is 1560 km. If the average flying speed of the plane is 650 km/h, when will it arrive city B? 1560 ÷ 650 = 2.4 The plane flies for 2.4 hours, which equals to 2 hours and 24 minutes. Thus, the plane will arrive city B at 11:39.

20. Solve the problem.

The distance between harbours A and B is 456 km. How many hours does a warship take to sail from harbour A to harbour B at an average speed of 38

km/h? 456 ÷ 38 = 12 It takes 12 hours.

21. Solve the problem.

How many hours does a car travel 364 km at a speed of 52 km/h? 364 ÷ 52 = 7 It takes 7 hours.

22. Solve the problem.

A bridge is 2400 m long. A train is travelling at a speed of 15 m/s. How many seconds does it take to cross the bridge? 2400 ÷ 15 = 160 It takes 160 seconds to cross the bridge.

23. Solve the problem.

A coach takes 2 hours to travel from place A to place B which is 95 km apart. What is the average speed of the coach? 95 ÷ 2 = 47.5 The average speed of the coach is 47.5 km/h.

24. Solve the problem.

Philip runs 400 metres for 3 minutes and 5 seconds. What is his average running speed? (Give your answer correct to 1 decimal place.)Philip runs 400 metres for 185 seconds. 400 ÷ 185 = 2.2 (correct to 1 decimal place) His average running speed is 2.2 m/s.

25. Solve the problem.

In a swimming gala, the best result in Women’s 100 m Breaststroke is 68 seconds. What is the average swimming speed? (Give your answer correct to 2 decimal places.) 100 ÷ 68

= 1.47 (correct to 2 decimal places) The average swimming speed is 1.47 m/s.

26. Solve the problem.

A minibus took 0.5 hour to go from place A to place B and then returned to place A. The distance between the two places is 17 km. Find the average speed of the minibus. 17 × 2 ÷ 0.5 = 68 The average speed of the minibus is 68 km/h.

27. Solve the problem.

The distance between city A and city B is 2500 km. A plane started flying from city A at 08:00 and reached city B at 11:30. Find the average flying speed of the plane. (Give your answer correct to 1 decimal place.) 2500 ÷ 3.5 = 714.3 (correct to 1 decimal place) The average flying speed of the plane wa s 714.3 km/h.

28. Solve the problem.

Susan went for a walk in a park at a speed of 2 km/h. After half of an hour, how many kilometres did she walk? 2 × 0.5 = 1 She walked 1 k m for half of an hour .

29. Solve the problem.

A tram took 20 minutes to travel from place A to place B at an average speed of 33 km/h. What is the distance between the two places?

The distance between the two places is 11 km.

30. Solve the problem.

33 ×20

60

= 11

Simon took 15 minutes to walk to the library from his home at a speed of 0.8 m/s. How far is the library away from his home? 0.8 × (15 × 60) = 720 The library is 720 m away from his home.

31. Solve the problem.

A ferry took 7.2 hours to sail from place A to place B at an average speed of 20 km/h. Find the distance between the two places. 20 × 7.2 = 144 The distance between the two places is 144 km.

32. Solve the problem.

John and Tom started cycling from from a school at the same time. Both of their speeds were 12 km/h. They cycled in opposite directions. How far were they apart after 2 hours? 12 × 2 × 2 = 48 They were 48 km apart after 2 hours.

33. Solve the problem.

Mr. Wong and Mr. Chan departed at a car park at the same time in the same direction. The driving speeds of Mr. Wong and Mr. Chan were 72 km/h and 68 km/h respectively. How far were they apart after half of an hour? (72 68) × 0.5 = 2 They were 2 km apart after half of an hour.

34. Solve the problem.

How much time does a dog take to run a distance of 162 metres at an average speed of 3 m/s? 162 ÷ 3 = 54 It takes 54 seconds .

35. Solve the problem.

How many hours does a train take to travel a distance of 690 km at an

average speed of 230 km/h? 690 ÷ 230 = 3 It takes 3 hours.

36. Solve the problem.

A sports ground has a round jogging track of 400 m. How many minutes does Joe take to jog 12 rounds at an average speed of 5 m/s? 400 × 12 ÷ 5 = 4800 ÷ 5 = 960 It takes him 960 seconds, it equals to 16 minutes .

37. Solve the problem.

The distance between place A and place B is 6048 km. A plane is going to fly from place A to place B at an average speed of 720 km/h. If it starts its journey at 13:05 from place A, when will it arrive at place B?6048 ÷ 720 = 8.4 It takes 8.4 hours to fly from p lace A to p lace B, it equals to 8 hours and 24 minutes. The arrival time is 21 : 29 .

38. Solve the problem.

Little sheep takes 5 seconds to run 25 metres. Find its average running speed.25 ÷ 5 = 　 5 　 .Its average running speed is 　 5 　 m/s.

39. Solve the problem.

Little deer takes 55 seconds to run 480 metres. Find its average running speed. (Give your answer correct to two decimal places.)　 480 　 ÷ 　 55 　 = 　 8.73 　 (correct to two decimal places)Its average running speed is 　 8.73 　 m/s.

40. Solve the problem.

A camel runs 600 metres for 231 seconds. Find its average running speed. (Give your answer correct to two decimal places.)600 ÷ 231 = 2.60 (correct to two decimal places) Its average running speed is 　 2.60 　 m/s.

41. Solve the problem.

John’s home is 953 m apart from his school. He walks to school at an average speed of 1.5 m/s. How much time does he need? (Give your answer correct to two decimal places.)953 ÷ 1.5 = 　 635.33 　 (correct to two decimal places)He needs 　 635.33 　 seconds.

42. The distance between place A and place B is 147 km. Mr. Chan, Mr. Lee and Mr. Cheung went from place A to place B by different vehicles.

(a) Mr. Chan took a taxi. He spent hours to reach place B. Find the

average speed of the taxi.

= 　 56 　 .The average speed of the taxi was

　 56 　 km/h.

(b) Mr. Lee took a bus. He spent hours to reach place B. Find the

average speed of the bus.

The average speed of the bus wa s 42 km/h.

(c) Mr. Cheung rode on his motor bike. He spent 2 hours and 20 minutes to reach place B. Find the average speed of his motor bike.The motor bike travelled hours.

25

8

147 ÷ 25

8

31

2

147 ÷ 31

2= 42

21

3

Express in fraction.

The average speed of Mr. Cheung ’ s motor bike is 63 km/h.

(d) The fastest vehicle is the 　 motor bike 　 .The slowest vehicle is the 　 bus 　 .

43. Solve the problem.

It takes a plane hours to fly from place A to place B at an average speed

of 820 km/h. What is the distance between the two places?

The distance is 　 3075 　 km.

44. Solve the problems.

(a) Jack joined the 110-metre race. His average speed was 5 m/s. How long did he take to finish the race?

110 5

= 　 22 　 .Jack finished the race in 　 22 　 seconds.

(b) The average speed of Ben was 8 m/s. He took 25 seconds to finish the race. How far did he run? 8 × 25 = 200 Ben ran 　 200 　 metres.

(c) Charles ran for 25 minutes at an average speed of 4 m/s. How many kilometres had he run?

(4 × 1500) ÷ 1000 = 6 Charles had ran 　 6 　 kilometres.

147 ÷ 21

3= 63

33

4

820 × 33

4= 3075

÷

25 minutes = 　 1500 　 seconds1 km = 　 1000 　 m

45. Solve the problem.

Place A is 36 km apart from place B. Chris travelled by bus between the two places from 8:00 in the morning to 8:45 in the morning. Find the average speed of the bus.

The average speed of the bus was 　 48 　 km/h.

46. Solve the problem.

Place A is 39 km apart from place B. Winnie travelled by bicycle between places A and B from 10:00 in the morning to 12:36 in the afternoon. Find her average cycling speed.

Her average cycling speed was 　 15 　 km/h.

47. Solve the problem.

Town A is 38 km apart from town B. Susan travelled between the two towns from 5:20 p.m. to 6:00 p.m.. Find her average speed.

Her average speed was 　 57 　 km/h.

48. Who can run the fastest?

36 ÷3

4

= 48

39 ÷ 23

5

= 15

38 ÷2

3

= 57

I can run 20 m in 5 seconds.

I can run 120 m in 1 minute.

I can run 3.6 km in 1 hour.

(a) Find the average running speed of the monkey.20 ÷ 5 = 　 4 　 .The average running speed of the monkey is 　 4 　 m/s.

(b) Find the average running speed of the sheep.120 ÷ 60 = 　 2 　 .The average running speed of the sheep is 　 2 　 m/s.

(c) Find the average running speed of the pig.3.6 × 1000 ÷ (60 × 60) = 　 1 　 .The average running speed of the pig is 　 1 　 m/s.

(d) So, the ( monkey / sheep / pig ) runs the fastest and ( monkey / sheep /

pig ) runs the slowest.

49. Solve the problem.

There is 70 km apart between Mr. Chan’s home and his office. Mr. Chan drove from the home at 9:25 a.m. and reached his office at 10:35 a.m. What was his average driving speed?

Mr. Chan drove for hour(s).

His average driving speed was km/h.

50. Solve the problem.

Places A and B are 221 km apart. A train started travelling from place A at 13:20 and reached place B at 15:30. What was the average speed of the train?

11

6

70 ÷ 11

6

= 60

60

The train travelled for hour(s).

The average speed of the train was km/h.

51. Solve the problem.

The jogging speed of Fanny is 4 m/s. How many seconds does she take to jog a distance of 80 metres? 80 ÷ 4 = 20 She takes 　 20 　 seconds.

52. Solve the problem.

Ming spends 2 minutes and 40 seconds to run 800 metres. Find his average running speed.60 × 2 + 40 = 160 Ming runs for 160 seconds. 800 ÷ 160 = 5 His average running speed is 5 m/s.

53. Solve the problem.

William spends 2 minutes and 5 seconds to finish the 400 m race. Find his average running speed.60 × 2 + 5 = 125 William runs for 125 seconds. 400 ÷ 125 = 3.2 His average running speed is 3.2 m/s.

54. Solve the problem.

Cindy takes 40 seconds to finish her race. Her average running speed is 5 m/s. How long is her race?

21

6

221 ÷ 21

6

= 102

102

5 × 40 = 200 Her race is 200 m long.

55. Solve the problem.

Peter finished the 800 m race at an average running speed of 4 m/s. How much time did he take to finish the race?800 ÷ 4 = 200 He took 　 200 　 seconds, which was 　 3 　 minutes and 　 20 　 seconds to finish the race.

56. Solve the problems.

A car and a bicycle are travelling at the same place at noon but in opposite directions.

(a) How many kilometres has the car travelled after 2 hours?51 2 = 　 102 　 .The car has travelled 　 102 　 km.

(b) How many kilometres has the bicycle travelled after 2 hours?

The bicycle has travelled 　 34 　 km.(c) How many kilometres are the two vehicles apart after 2 hours?

102 + 34 = 136 The two vehicles are 　 136 　 km apart.

(d) How many kilometres has the car travelled more than the bicycle after 5 hours?

My average driving speed is 51 km/h.

My average cycling speed is one third of that of the car.

51 ×1

3× 2 = 34

The car has travelled 　 170 　 km more than the bicycle.

(e) After 2 hours, the car has to return and travel in the opposite direction. When will they meet?

They will meet at 　 6 　 p.m..

- End of Paper -

( 51 – 51 ×1

3) × 5 = 170

136 ÷ ( 51 – 51 ×1

3) = 4