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Sam drives his car on a journey - Edexcel - GCSE Maths - Question 4 - 2021 - Paper 2
Question 4
Sam drives his car on a journey. Here is the travel graph for the first 15 minutes of his journey. Distance travelled (kilometres) 0 10:00 10... show full transcript
Worked Solution & Example Answer:Sam drives his car on a journey - Edexcel - GCSE Maths - Question 4 - 2021 - Paper 2
Step 1
Work out Sam's speed, in km/h, for the first 15 minutes of his journey.
Answer
To find Sam's speed for the first 15 minutes, we must determine the distance he traveled during that time. From the graph, Sam travels from 0 kilometers at 10:00 to 25 kilometers at 10:15.
Using the formula for speed:
ext{Speed} = rac{ ext{Distance}}{ ext{Time}}
Distance traveled = 25 km, Time taken = 15 minutes = \frac{15}{60} ext{ hours}.
Therefore,
Thus, Sam's speed for the first 15 minutes of his journey is 100 km/h.
Step 2
On the grid, complete the travel graph for Sam's journey.
Answer
At 10:15, Sam stops for 10 minutes. Thus, he resumes his journey at 10:25. He drives for 20 minutes at a speed of 75 km/h.
For 20 minutes at 75 km/h, we can find the distance using:
He starts from 25 km at 10:15, so he will have traveled 25 km more, reaching 50 km by 10:45.
On the graph:
- Draw a horizontal line from (10:15, 25) to (10:25, 25) to indicate the 10-minute stop.
- Then draw a straight line from (10:25, 25) to (10:45, 50) to represent the 20 minutes of travel.