Q: A, B, C and D are junctions on a motorway. distance CD = 3 × distance AB distance BC = 25 miles. Salma drives from A to C. She drives for 30 minutes at an average speed of 62 miles per hour. Work out the distance AD

AQA GCSE 83001F

AQA GCSE 83001F
Answer: 49 miles

Explanation: Let’s make this as fun as a road trip! 🚗💨

So, Salma is cruising from junction A to junction C. She’s zipping along at 62 miles per hour for a cool 30 minutes. That’s like driving at the speed of a rocket turtle! 🐢🚀

First off, we need to know how far she went from A to C. So, we take her speed (62 mph) and multiply it by her time (0.5 hours, because 30 minutes is half an hour). That gives us 31 miles. Salma’s just getting started! 🏁

Now, since AC is equal to 31 miles and we are given that BC is equal to 25 miles.
therefore we have AB = 31-25 = 6 miles

Now, let’s talk about the distance from C to D. It’s three times the distance from A to B, so it’s a whopping 18 miles. That’s like driving through three different states! 🌆🏞️🏙️

Finally, we add in the distance from B to C, which is 25 miles. So, the total distance from A to D is 6 miles (A to B) + 25 miles (B to C) + 18 miles (C to D) equals 49 miles. Salma’s motorway adventure covers a grand total of 49 miles! 🎉🗺️

And that’s the story of Salma’s speedy journey from A to D! 🚗💨

AQA GCSE 83001F
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