time speed and distance - 24 may 2015 use the correct formula (rule) and workout a time, speed or...
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Time Speed and Distance - 18 April 2023
Use the correct
formula (RULE) and workout a
time, speed or distance problem
Use the correct
formula (RULE) and workout a
time, speed or distance problem
Level 7
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© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.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
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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
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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 miles B: 5 x 2 = 10 miles
D: 5 ÷ 2 = 2½ milesC: 5 – 2 = 3 miles
B: 5 x 2 = 10 miles
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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 milesD: 10 x 3 = 30 miles
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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
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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
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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
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
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Distance = Time x Speed D = S x TD miles S
m.p.h.T hours D
milesS m.p.h.
T hours
1. 4 2 3. 20 52. 10 3 4. 30 4
Speed = Distance ÷ Time S = D ÷ TD miles S
m.p.h.T hours D
milesS m.p.h.
T hours
5. 10 2 7. 100 26. 12 3 8. 240 4
Time = Distance ÷ Speed T = D ÷ SD miles S
m.p.h.T hours D
milesS m.p.h.
T hours
9. 8 4 11.
500 250
10.
12 6 12.
720 80
4 x 2
10 ÷ 2
8 ÷ 4
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Distance = Time x Speed D = S x TD miles S
m.p.h.T hours D
milesS m.p.h.
T hours
1. 8 4 2 3. 100 20 52. 30 10 3 4. 120 30 4
Speed = Distance ÷ Time S = D ÷ TD miles S
m.p.h.T hours D
milesS m.p.h.
T hours
5. 10 5 2 7. 100 50 26. 12 4 3 8. 240 60 4
Time = Distance ÷ Speed T = D ÷ SD miles S
m.p.h.T hours D
milesS m.p.h.
T hours
9. 8 4 2 11.
500 250 2
10.
12 6 2 12.
720 80 9© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk
Dis (miles) Time (hours) Speed (mph)
A 2 4
B 4 20
C 12 4
D 18 3
E 24 4
F 48 6
G 3 5
H 7 10
I 30 10
J 16 8
K 80 4
L 60 5
D
S T
D = S X T S = D ÷ TT = D ÷ S
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Dis (miles) Time (hours) Speed (mph)
A 8 2 4
B 80 4 20
C 12 3 4
D 18 6 3
E 24 4 6
F 48 6 8
G 15 3 5
H 70 7 10
I 30 3 10
J 16 2 8
K 80 4 20
L 60 5 12
D
S T
D = S X T S = D ÷ TT = D ÷ S
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Distance = Time x Speed D = S X T Speed = Distance ÷ Time S = D ÷ TTime = 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
S T
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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 ÷ TTime = Distance ÷ Speed T = D ÷ S
D
S T
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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?
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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?
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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 hoursBreaks
2 breaks each 45 minutes long
2 x 45 = 90 minutes
Total Time
Swim 2.00Cycle 1.00Run 3.00 Breaks 1.30Total 7.30
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How to change hours and minutes into decimal hours
2 hours 48 minutes
2.8 hours
48 ÷ 60 = 0.8
48 ÷ 60 = 0.8
How to decimal hours into hours and minutes
2.8 hours
2 hours 48 minutes
0.8 x 60 = 48
0.8 x 60 = 48
min ÷ 60min ÷ 60
Decimal x 60
Decimal x 60
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Distance (miles) Time (hours) Speed (mph)
A 2hrs 24 min 4
B 4 hrs 30 min 20
C 15 4
D 22 3
E 25 4
F 40 6
G 3hrs 24 min 5
H 7hrs 32 min 10
I 35 10
J 27 8
K 80 4hrs 45 min
L 60 5hrs 48 min© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk
Distance (miles) Time (hours) Speed (mph)
A 1.67 2hrs 24 min 4
B 4.44 4 hrs 30 min 20
C 15 3 hr 45 min 4
D 22 7 hr 20 min 3
E 25 4 6.25
F 40 6 6.67
G 17 3hrs 24 min 5
H 75.33 7hrs 32 min 10
I 35 3 hrs 30 min 10
J 27 3 hrs 23 min 8
K 80 4hrs 45 min 16.84
L 60 5hrs 48 min 10.34© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk
Distance = Time x Speed D = S X T Speed = Distance ÷ Time S = D ÷ TTime = 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
S T
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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 ÷ TTime = Distance ÷ Speed T = D ÷ S
D
S T
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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?
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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.uk
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
Swim 2.5Cycle 1.25Run 3.67 Breaks 1.5Total 8.928 hours and 55 minutes© Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk