Noah is a travelling salesman who lives in the United States of America (USA) - NSC Mathematical Literacy - Question 5 - 2021 - Paper 2
Question 5
Noah is a travelling salesman who lives in the United States of America (USA).
He uses a map to estimate his travelling time between cities.
On ANNEXURE D is a parti... show full transcript
Worked Solution & Example Answer:Noah is a travelling salesman who lives in the United States of America (USA) - NSC Mathematical Literacy - Question 5 - 2021 - Paper 2
Step 1
(a) The average time (in hours) to travel between Lee and Springfield is …
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Answer
The average time to travel between Lee and Springfield is 50 hours. This can be confirmed by referencing ANNEXURE D, where the travel time for this route is listed.
Step 2
(b) Which city lies southeast of Boston?
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Answer
The city that lies southeast of Boston is Plymouth (Z). On the map in ANNEXURE D, Plymouth is positioned correctly relative to Boston.
Step 3
(a) Write down the actual distances (in miles) from Providence to Boston and from Springfield to Worcester.
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Answer
The distance from Providence to Boston is 52 miles, while the distance from Springfield to Worcester is 49 miles, according to ANNEXURE D.
Step 4
(b) Give ONE possible reason why the map indicates the same travelling time for these two different distances.
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Answer
One possible reason for the same travelling time indicated on the map, despite differing distances, could be differences in road conditions, speed limits, or traffic patterns that affect travel speed.
Step 5
Name cities A, B, C and D.
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Answer
The cities are named as follows: A is Newport, B is Lawrence, C is Worcester, and D is Boston.
Step 6
Verify, with calculations, whether this claim is valid.
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Answer
First, convert gallons to litres: 23 gallons = 23 × 3.785 = 87.056 litres. Then, calculate the cost: 87.056 litres × R15.971/litre = R1,389.81. Since R1,389.81 is less than R1,400, Noah's claim is valid.
Step 7
Determine the number of gallons of fuel left in his car's tank on arrival in Greenfield on Friday afternoon.
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Answer
Over the week, Noah travels a total of 98 miles. With a fuel consumption of 18 miles per gallon, he will use approximately rac{98}{18} = 5.44 gallons. As he started with 23 gallons, the remaining fuel is 23 - 5.44 = 17.56 gallons.
