Can anyone help me with this AS Level maths question, I think mechanics?
The question is:
“A car journey of 200 miles takes 4 hours. Part of it is spent on the motorway, travelling at 70 mph, and the rest of it is spent on country roads, travelling at 40 mph.
By writing this information as a pair of simultaneous equations, find the distances travelled on each type of road.”
If anyone could give me a clue on how to approach it, or what topics I’d need to know about to solve it, I’d be really grateful. I have no idea how to even start rn.
“A car journey of 200 miles takes 4 hours. Part of it is spent on the motorway, travelling at 70 mph, and the rest of it is spent on country roads, travelling at 40 mph.
By writing this information as a pair of simultaneous equations, find the distances travelled on each type of road.”
If anyone could give me a clue on how to approach it, or what topics I’d need to know about to solve it, I’d be really grateful. I have no idea how to even start rn.
Reply 1
Original post
by College student2The question is:
“A car journey of 200 miles takes 4 hours. Part of it is spent on the motorway, travelling at 70 mph, and the rest of it is spent on country roads, travelling at 40 mph.
By writing this information as a pair of simultaneous equations, find the distances travelled on each type of road.”
If anyone could give me a clue on how to approach it, or what topics I’d need to know about to solve it, I’d be really grateful. I have no idea how to even start rn.
“A car journey of 200 miles takes 4 hours. Part of it is spent on the motorway, travelling at 70 mph, and the rest of it is spent on country roads, travelling at 40 mph.
By writing this information as a pair of simultaneous equations, find the distances travelled on each type of road.”
If anyone could give me a clue on how to approach it, or what topics I’d need to know about to solve it, I’d be really grateful. I have no idea how to even start rn.
You need to know that, for an object moving at constant speed, distance = (speed) x (time). You need to apply that separately to the two parts of the journey, with due regard to the given total distance and total time. And you need to be able to solve linear simultaneous equations in two variables.
Reply 2
16
Original post
by College student2The question is:
“A car journey of 200 miles takes 4 hours. Part of it is spent on the motorway, travelling at 70 mph, and the rest of it is spent on country roads, travelling at 40 mph.
By writing this information as a pair of simultaneous equations, find the distances travelled on each type of road.”
If anyone could give me a clue on how to approach it, or what topics I’d need to know about to solve it, I’d be really grateful. I have no idea how to even start rn.
“A car journey of 200 miles takes 4 hours. Part of it is spent on the motorway, travelling at 70 mph, and the rest of it is spent on country roads, travelling at 40 mph.
By writing this information as a pair of simultaneous equations, find the distances travelled on each type of road.”
If anyone could give me a clue on how to approach it, or what topics I’d need to know about to solve it, I’d be really grateful. I have no idea how to even start rn.
without giving too much away, how could you break the total time into 2 parts, one for each phase of the journey? How would you write the total time taken in terms of these parts (easy) and how would you write the total distance travelled using the information you're given (slightly more thinking).
Then you should be on familiar territory (simultaneous equations).
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