1. Time Speed and Distance - 24 May 2015 Use the correct formula (RULE) and workout a time, speed or distance problem Level 7 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

2. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk To describe a speed. the letters m.p.h. are abbreviations (stand for) (means) for A: mum please hurry C: my police hat B: miles per hour D: more power helps B: miles per hour

3. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk If you are travelling at a speed of 30 m.p.h. How far will you travel in one hour? A: 3 miles C: 300 miles B: 30 miles D: 3000 miles B: 30 miles

4. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk A person is walking at a speed of 5 m.p.h. What distance will it travel in a time of 2 hours? A: 5 + 2 = 7 milesB: 5 x 2 = 10 miles D: 5 ÷ 2 = 2½ milesC: 5 – 2 = 3 miles B: 5 x 2 = 10 miles

5. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk I am cycling at a speed of 10 miles per hour. What distance will I travel in a time of 3 hours? A: 10 + 3 = 13 miles C: 10 – 3 = 7 miles B: 10 ÷ 3 = 3 1 / 3 miles D: 10 x 3 = 30 miles

6. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk I am walking at a speed of 3 miles per hour. What distance will I have travelled in a time of 2 hours? A: 3 x 2 = 6 miles C: 3 – 2 = 1 miles B: 3 + 2 = 5 miles D: 3 ÷ 2 = 1 r 1 miles A: 3 x 2 = 6 miles

7. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk I am riding at a speed of 30 miles per hour. What distance will I travel in a time of 2 hours? A: 30 + 2 = 32 miles C: 30 x 2 = 60 miles B: 30 ÷ 2 = 15 miles D: 30 - 2 = 28 milesC: 30 x 2 = 60 miles

8. © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk A train is travelling at a speed of 100 miles per hour. What distance will it travel in a time of 4 hours? A: 100 + 4 = 104miles C: 100 x 4 = 400 miles B: 100 ÷ 4 = 25 miles D: 100 - 4 = 96 milesC: 100 x 4 = 400 miles

9. What do you do to speed and time if you want to find the distance? A: Speed + Time C: Speed x Time B: Speed - Time D: Speed ÷ Time C: Speed x Time © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

10. Distance = Time x Speed  D = S x T D miles S m.p.h. T hours D miles S m.p.h. T hours 1. 42 3. 205 2. 103 4. 304 Speed = Distance ÷ Time  S = D ÷ T D miles S m.p.h. T hours D miles S m.p.h. T hours 5. 102 7. 1002 6. 123 8. 2404 Time = Distance ÷ Speed  T = D ÷ S D miles S m.p.h. T hours D miles S m.p.h. T hours 9. 84 11. 500250 10. 126 12. 72080 4 x 2 10 ÷ 2 8 ÷ 4 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

11. Distance = Time x Speed  D = S x T D miles S m.p.h. T hours D miles S m.p.h. T hours 1. 842 3. 100205 2. 30103 4. 120304 Speed = Distance ÷ Time  S = D ÷ T D miles S m.p.h. T hours D miles S m.p.h. T hours 5. 1052 7. 100502 6. 1243 8. 240604 Time = Distance ÷ Speed  T = D ÷ S D miles S m.p.h. T hours D miles S m.p.h. T hours 9. 842 11. 5002502 10. 1262 12. 720809 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

12. Dis (miles)Time (hours)Speed (mph) A24 B420 C124 D183 E244 F486 G35 H710 I3010 J168 K804 L605 D ST D = S X T S = D ÷ T T = D ÷ S © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

13. Dis (miles)Time (hours)Speed (mph) A 8 24 B 80 420 C12 3 4 D18 6 3 E244 6 F486 8 G 15 35 H 70 710 I30 3 10 J16 2 8 K804 20 L605 12 D ST D = S X T S = D ÷ T T = D ÷ S © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

14. Distance = Time x Speed  D = S X T Speed = Distance ÷ Time  S = D ÷ T Time = Distance ÷ Speed  T = D ÷ S 1. D = S x T D = 4 x 2 D = 8 miles 2. A cyclist travels 20 miles in 2 hours. What is the cyclist’s speed? 1. I walk at 4 mph for 2 hours. What distance have I travelled? 2. S = D ÷ T S = 20 ÷ 2 S = 10 mph 3. A horse travels 20 miles at a speed of 10 mph. How long in time will this take? 3. T = D ÷ S T = 20 ÷ 10 T= 2 hours D ST © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

15. 6. T = D ÷ S T = 1200 ÷ 300 T = 4 hours 5. S = D ÷ T S = 120 ÷ 2 S = 60 mph 4. D = S x T D = 25 x 4 D = 100 hours 4. A car travels at 25 mph for 4 hours. What distance has it travelled? 5. An train travels a distance of 120 miles in 2 hours. What is the train’s speed? 6. A plane covers a distance of 1200 miles at a speed of 300 mph. How long will it take to complete this journey? Distance = Time x Speed  D = S X T Speed = Distance ÷ Time  S = D ÷ T Time = Distance ÷ Speed  T = D ÷ S D ST © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

16. 7. A cyclist travels a distance of 45 miles in 3 hours. What is the cyclist’s speed? 8. A train travels at 65 mph for 5 hours. What distance will it have travelled? 9. A plane flies for a distance of 1000 miles at a speed of 200 mph. How long in time will this journey be? 10. In a competition, it is necessary to swim 8 miles then cycle 20 miles and finally run 18 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

17. 7. A cyclist travels a distance of 45 miles in 3 hours. What is the cyclist’s speed? 15 mph 8. A train travels at 65 mph for 5 hours. What distance will it have travelled? 325 miles 9. A plane flies for a distance of 1000 miles at a speed of 200 mph. How long in time will this journey be? 5 hours 10. In a competition, it is necessary to swim 8 miles then cycle 20 miles and finally run 18 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

18. Swim Time = D ÷ S Time = 8 ÷ 4 Time = 2 hours Cycle Time = D ÷ S Time = 20 ÷ 20 Time = 1 hour Run Time = D ÷ S Time = 18 ÷ 6 Time = 3 hours Breaks 2 breaks each 45 minutes long 2 x 45 = 90 minutes Total Time Swim2.00 Cycle1.00 Run 3.00 Breaks1.30 Total7.30 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

19. How to change hours and minutes into decimal hours 2 hours 48 minutes 2.8 hours 48 ÷ 60 = 0.8 How to decimal hours into hours and minutes 2.8 hours 2 hours 48 minutes 0.8 x 60 = 48 min ÷ 60 Decimal x 60 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

20. Distance (miles)Time (hours)Speed (mph) A2hrs 24 min4 B4 hrs 30 min20 C154 D223 E254 F406 G3hrs 24 min5 H7hrs 32 min10 I3510 J278 K804hrs 45 min L605hrs 48 min © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

21. Distance (miles)Time (hours)Speed (mph) A1.672hrs 24 min4 B4.444 hrs 30 min20 C153 hr 45 min4 D227 hr 20 min3 E2546.25 F4066.67 G173hrs 24 min5 H75.337hrs 32 min10 I353 hrs 30 min10 J273 hrs 23 min8 K804hrs 45 min16.84 L605hrs 48 min10.34 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

22. Distance = Time x Speed  D = S X T Speed = Distance ÷ Time  S = D ÷ T Time = Distance ÷ Speed  T = D ÷ S 1. D = S x T D = 4 x 2.5 D = 10 miles 2. A cyclist travels 20 miles in 2 hours and 15 minutes. What is the cyclist’s speed? 1. I walk at 4 mph for 2 hours and 30 minutes. What distance have I travelled? 2. S = D ÷ T S = 20 ÷ 2.25 S = 8.89 mph 3. A horse travels 25 miles at a speed of 10 mph. How long in time will this take? 3. T = D ÷ S T = 25 ÷ 10 T= 2.5 hours T = 2 hrs 30 min D ST © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

23. 6. T = D ÷ S T = 1200 ÷ 375 T = 3.2 hours T = 3hrs 12 minutes 5. S = D ÷ T S = 150 ÷ 2.2 S = 68.18 mph 4. D = S x T D = 35 x 4.25 D = 148,75 miles 4. A car travels at 35 mph for 4 hours and 15 minutes. What distance has it travelled? 5. An train travels a distance of 150 miles in 2 hours and 12 minutes. What is the train’s speed? 6. A plane covers a distance of 1200 miles at a speed of 375 mph. How long will it take to complete this journey? Distance = Time x Speed  D = S X T Speed = Distance ÷ Time  S = D ÷ T Time = Distance ÷ Speed  T = D ÷ S D ST © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

24. 4. A cyclist travels a distance of 48 miles in 5 hours. What is the cyclist’s speed? 5. A train travels at 78 mph for 5 hours and 12 minutes. What distance will it have travelled? 6. A plane flies for a distance of 1050 miles at a speed of 275 mph. How long in time will this journey be? 7. In a competition, it is necessary to swim 10 miles then cycle 25 miles and finally run 20 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

25. 7. A cyclist travels a distance of 48 miles in 5 hours. What is the cyclist’s speed? 9.6 mph 8. A train travels at 78 mph for 5 hours 12 minutes. What distance will it have travelled? 405.6 miles 9. A plane flies for a distance of 1050 miles at a speed of 275 mph. How long in time will this journey be? 3 hours 49 minutes 10. In a competition, it is necessary to swim 10 miles then cycle 25 miles and finally run 20 miles. I a competitor can swim at 4 mph, cycle at 20 mph and run at 6 mph, how long will it take to complete the competition if there is a break of 45 minutes between each activity? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

26. Swim Time = D ÷ S Time = 10 ÷ 4 Time = 2.5 hrs Cycle Time = D ÷ S Time = 25 ÷ 20 Time = 1.25 hrs Run Time = D ÷ S Time = 20 ÷ 6 Time = 3.67 hrs Breaks 2 breaks each 45 minutes long 2 x 45 = 1.5 hours Total Time Swim2.5 Cycle1.25 Run 3.67 Breaks1.5 Total8.92 8 hours and 55 minutes © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk