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Parents Pricing Home GCSE Edexcel Maths Coordinate Geometry Jessica runs for 15 minutes at an average speed of 6 miles per hour
Jessica runs for 15 minutes at an average speed of 6 miles per hour - Edexcel - GCSE Maths - Question 7 - 2022 - Paper 3 Question 7
View full question Jessica runs for 15 minutes at an average speed of 6 miles per hour.
She then runs for 40 minutes at an average speed of 9 miles per hour.
It takes Amy 45 minutes t... show full transcript
View marking scheme Worked Solution & Example Answer:Jessica runs for 15 minutes at an average speed of 6 miles per hour - Edexcel - GCSE Maths - Question 7 - 2022 - Paper 3
Calculate the distance for the first part of Jessica's journey Only available for registered users.
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Jessica runs for 15 minutes at an average speed of 6 miles per hour.
First, convert 15 minutes to hours:
15 ext{ minutes} = rac{15}{60} ext{ hours} = 0.25 ext{ hours}
Now, use the formula for distance:
e x t D i s t a n c e = e x t S p e e d i m e s e x t T i m e ext{Distance} = ext{Speed} imes ext{Time} e x t D i s t an ce = e x t Sp ee d im ese x t T im e
Calculating the distance:
e x t D i s t a n c e 1 = 6 e x t m i l e s p e r h o u r i m e s 0.25 e x t h o u r s = 1.5 e x t m i l e s ext{Distance}_1 = 6 ext{ miles per hour} imes 0.25 ext{ hours} = 1.5 ext{ miles} e x t D i s t an ce 1 = 6 e x t mi l es p er h o u r im es 0.25 e x t h o u rs = 1.5 e x t mi l es
Calculate the distance for the second part of Jessica's journey Only available for registered users.
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Jessica runs for 40 minutes at an average speed of 9 miles per hour.
Convert 40 minutes to hours:
40 ext{ minutes} = rac{40}{60} ext{ hours} = rac{2}{3} ext{ hours}
Now calculate the distance:
ext{Distance}_2 = 9 ext{ miles per hour} imes rac{2}{3} ext{ hours} = 6 ext{ miles}
Calculate the total distance Jessica runs Only available for registered users.
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Now, add the distances:
e x t T o t a l D i s t a n c e = e x t D i s t a n c e 1 + e x t D i s t a n c e 2 ext{Total Distance} = ext{Distance}_1 + ext{Distance}_2 e x t T o t a l D i s t an ce = e x t D i s t an ce 1 + e x t D i s t an ce 2
Calculating the total distance:
e x t T o t a l D i s t a n c e = 1.5 e x t m i l e s + 6 e x t m i l e s = 7.5 e x t m i l e s ext{Total Distance} = 1.5 ext{ miles} + 6 ext{ miles} = 7.5 ext{ miles} e x t T o t a l D i s t an ce = 1.5 e x t mi l es + 6 e x t mi l es = 7.5 e x t mi l es
Calculate Amy's average speed Only available for registered users.
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It takes Amy 45 minutes to run the same total distance.
First, convert 45 minutes to hours:
45 ext{ minutes} = rac{45}{60} ext{ hours} = 0.75 ext{ hours}
Now, use the formula for average speed:
ext{Average Speed} = rac{ ext{Distance}}{ ext{Time}}
Calculating Amy's average speed:
ext{Average Speed} = rac{7.5 ext{ miles}}{0.75 ext{ hours}} = 10 ext{ miles per hour}
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