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

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 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

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 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

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

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

© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 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: = 5 miles D: 3 ÷ 2 = 1 r 1 miles A: 3 x 2 = 6 miles

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

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

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

Distance = Time x Speed  D = S x T D miles S m.p.h. T hours D miles S m.p.h. T hours Speed = Distance ÷ Time  S = D ÷ T D miles S m.p.h. T hours D miles S m.p.h. T hours Time = Distance ÷ Speed  T = D ÷ S D miles S m.p.h. T hours D miles S m.p.h. T hours x 2 10 ÷ 2 8 ÷ 4 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

Distance = Time x Speed  D = S x T D miles S m.p.h. T hours D miles S m.p.h. T hours Speed = Distance ÷ Time  S = D ÷ T D miles S m.p.h. T hours D miles S m.p.h. T hours Time = Distance ÷ Speed  T = D ÷ S D miles S m.p.h. T hours D miles S m.p.h. T hours © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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

Dis (miles)Time (hours)Speed (mph) A 8 24 B C D E244 6 F486 8 G H I J K L D ST D = S X T S = D ÷ T T = D ÷ S © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09

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

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

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

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

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

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

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

Distance (miles)Time (hours)Speed (mph) A1.672hrs 24 min4 B4.444 hrs 30 min20 C153 hr 45 min4 D227 hr 20 min3 E F 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

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

6. T = D ÷ S T = 1200 ÷ 375 T = 3.2 hours T = 3hrs 12 minutes 5. S = D ÷ T S = 150 ÷ 2.2 S = 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

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

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? 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

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 Total hours and 55 minutes © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09