NSC Mathematical Literacy Converting between different units of measurement: Noah is a travelling salesman wh

Question

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 partial map which shows the following:
- Various cities
- Distances (in miles) between cities
- Average travelling times (in hours and minutes) between these cities

Use ANNEXURE D to answer the questions that follow.

5.1.1 Choose ONE letter (W, X, Y or Z) that will make EACH of the following statements below TRUE.

(a) The average time (in hours) to travel between Lee and Springfield is …

W  50
X  60
Y  50
Z  100

A  0.5
B  41

(b) Which city lies southeast of Boston?

W  Providence
X  Lowell
Y  Gloucester
Z  Plymouth

5.1.2 Noah found that the same time 01:05 is estimated for travelling from Providence to Boston and from Springfield to Worcester.

(a) Write down the actual distances (in miles) from Providence to Boston and from Springfield to Worcester.

(b) Give ONE possible reason why the map indicates the same travelling time for these two different distances.

5.1.3 Noah travelled from Portland passing three cities (A, B and C in the table) to reach his destination city, D.

TABLE 1 below shows the time taken to travel between various unknown cities indicated by A, B, C and D.

TABLE 1: TIME TAKEN BETWEEN CITIES

START CITY           DESTINATION CITY          TIME TAKEN  BETWEEN CITIES
Portland               A                          01:35
A                      B                          1 hour
B                      C                          00:35
C                      D                          1 hour

Name cities A, B, C and D.

5.1.4 The fuel tank of Noah's car has a capacity of 23 gallons. Noah claims that in South Africa it will cost him less than R1 400 to fill up his fuel tank to capacity.

NOTE:
1 gallon = 3.785 litres
Fuel cost R15.97/litre

Verify, with calculations, whether this claim is valid.

5.1.5 Noah stays in Greenfield and travels to Fitchburg and back, from Monday to Friday. He fills his car's fuel tank on Monday morning. The fuel consumption of his car is 18 miles per gallon. He refuels his car to full on Thursday as he does not have enough fuel to complete a trip between the two cities.

Determine the number of gallons of fuel left in his car's tank on arrival in Greenfield on Friday afternoon.

5.2 A temperature reading of -7°C was displayed on the screen of Noah's car. Determine (to the nearest ten) the temperature in degrees Fahrenheit.

Use the formula: $$ c = \frac{9}{5} (k + 32) $$

Noah is a travelling salesman who lives in the United States of America (USA) - NSC Mathematical Literacy - Question 5 - 2021 - Paper 2

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

Choose ONE letter (W, X, Y or Z) that will make EACH of the following statements below TRUE. (a) The average time (in hours) to travel between Lee and Springfield is …

Which city lies southeast of Boston?

5.1.2 (a) Write down the actual distances (in miles) from Providence to Boston and from Springfield to Worcester.

5.1.2 (b) Give ONE possible reason why the map indicates the same travelling time for these two different distances.

5.1.3 Name cities A, B, C and D.

5.1.4 Verify, with calculations, whether this claim is valid.

5.1.5 Determine the number of gallons of fuel left in his car's tank on arrival in Greenfield on Friday afternoon.

5.2 Determine (to the nearest ten) the temperature in degrees Fahrenheit.

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