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Nimer was driving to a hotel - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 3

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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... show full transcript

Worked Solution & Example Answer:Nimer was driving to a hotel - Edexcel - GCSE Maths - Question 10 - 2019 - Paper 3

Step 1

Find the time difference between 13:30 and 14:48

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Answer

To find the time taken, we first calculate the time difference:

From 13:30 to 14:00 is 30 minutes, and from 14:00 to 14:48 is 48 minutes.

Thus, the total time taken is:

30 minutes + 48 minutes = 78 minutes.

Step 2

Convert the time from minutes to hours

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Answer

Next, we convert the time taken from minutes to hours:

78 minutes can be converted into hours by dividing by 60:

( \frac{78}{60} = 1.3 ) hours.

Step 3

Calculate the average speed

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Answer

Average speed can be calculated using the formula:

[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} ]

Here, the distance is 65 miles and the time is 1.3 hours:

[ \text{Speed} = \frac{65}{1.3} \approx 50 \text{ mph} ]

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