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The seating plan below represents the seating arrangement in a coach of a train - NSC Mathematical Literacy - Question 4 - 2019 - Paper 1

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The seating plan below represents the seating arrangement in a coach of a train. Use the information above to answer the questions that follow. 4.1.1 How many pass... show full transcript

Worked Solution & Example Answer:The seating plan below represents the seating arrangement in a coach of a train - NSC Mathematical Literacy - Question 4 - 2019 - Paper 1

Step 1

How many passengers can be seated in ONE coach?

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Answer

In total, there are 60 seats in the coach. Therefore, the maximum number of passengers that can be seated is 60.

Step 2

Write down the number of the seat close to the window and the toilet.

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Answer

The seat closest to the window and the toilet is seat K6.

Step 3

In which general direction is the toilet from seat B6?

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Answer

The toilet is located towards the back of the train from seat B6, specifically in the south-east direction.

Step 4

Determine the probability (as a percentage) of randomly selecting a seat with a power point in this coach.

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Answer

There are 9 seats with power sockets out of a total of 60 seats. Thus, the probability is calculated as follows:

P=960×100=15%P = \frac{9}{60} \times 100 = 15\%

Step 5

Write down his new seat number.

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Answer

After following the given route, the man seated in J2 would end up in seat A5.

Step 6

How many airports are along the bus routes?

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Answer

There are 8 airports along the bus routes.

Step 7

Explain the meaning of the given scale.

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Answer

The scale indicates that one unit on the map is equivalent to 10,000,000 units in real life. This means that every centimeter or millimeter on the map corresponds to a significantly larger measurement in the real world.

Step 8

Calculate the actual distance, in km, from Mossel Bay to East London if the distance on the map is 60 mm.

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Answer

Using the scale, the actual distance is calculated as follows:

Actual distance=60 mm×10,000,000=600,000,000 mm=600 km\text{Actual distance} = 60 \text{ mm} \times 10,000,000 = 600,000,000 \text{ mm} = 600 \text{ km}

Step 9

Calculate the average speed (in km/hour) the bus travelled if the distance from Bloemfontein to Grahamstown is 597 km.

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Answer

The total time taken is 7 hours and 26 minutes, which is equal to (7 + \frac{26}{60}) hours.

To calculate the average speed:

Speed=DistanceTime=597 km7.4333 hours80.31 km/h\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{597 \text{ km}}{7.4333 \text{ hours}} \approx 80.31 \text{ km/h}

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