Nimer was driving to a hotel - Edexcel - GCSE Maths - Question 7 - 2019 - Paper 3
Question 7
Nimer was driving to a hotel.
He looked at his Sat Nav at 13:30
Time
13:30
Distance to destination
65 miles
Nimer arrived at the hotel at 14:48.
Work out the ave... show full transcript
Worked Solution & Example Answer:Nimer was driving to a hotel - Edexcel - GCSE Maths - Question 7 - 2019 - Paper 3
Step 1
Calculate the time difference
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Answer
To find the time difference between 13:30 and 14:48, we first convert both times to minutes:
13:30 is 13 hours and 30 minutes, which is 13 * 60 + 30 = 810 minutes.
14:48 is 14 hours and 48 minutes, which is 14 * 60 + 48 = 888 minutes.
Now, subtract the two times:
888−810=78extminutes
Step 2
Convert time from minutes to hours
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Answer
Next, we convert the time from minutes to hours to prepare for calculating speed. Since there are 60 minutes in an hour:
78 ext{ minutes} = rac{78}{60} = 1.3 ext{ hours}
Step 3
Use the speed formula
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Answer
Now that we have the distance and the time taken, we can use the formula for speed:
ext{Speed} = rac{ ext{Distance}}{ ext{Time}}
Substituting the values:
ext{Speed} = rac{65 ext{ miles}}{1.3 ext{ hours}}
Step 4
Calculate the average speed
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Now perform the division:
extSpeed=50extmph
Therefore, the average speed of the car is 50 mph.
