Photo AI

4.2.3 Calculate the following: (a) A train departs from a station at 09:55 and travels to a town 97 km away at an average speed of 79 km/h - NSC Mathematical Literacy - Question 5 - 2024 - Paper 2

Question icon

Question 5

4.2.3---Calculate-the-following:--(a)-A-train-departs-from-a-station-at-09:55-and-travels-to-a-town-97-km-away-at-an-average-speed-of-79-km/h-NSC Mathematical Literacy-Question 5-2024-Paper 2.png

4.2.3 Calculate the following: (a) A train departs from a station at 09:55 and travels to a town 97 km away at an average speed of 79 km/h. (i) How long will th... show full transcript

Worked Solution & Example Answer:4.2.3 Calculate the following: (a) A train departs from a station at 09:55 and travels to a town 97 km away at an average speed of 79 km/h - NSC Mathematical Literacy - Question 5 - 2024 - Paper 2

Step 1

(a) (i) How long will the journey take?

96%

114 rated

Answer

To find the time taken for the journey, use the formula:

extTime=DistanceSpeed=97km79km/h=1.22hours1hour13minutes ext{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{97 \, \text{km}}{79 \, \text{km/h}} = 1.22 \, \text{hours} \approx 1 \, \text{hour} \, 13 \, \text{minutes}

Therefore, the journey will take approximately 1 hour and 13 minutes.

Step 2

(a) (ii) What time will the train arrive at the town?

99%

104 rated

Answer

The train departs at 09:55. Adding the journey time of 1 hour and 13 minutes:

09:55 + 01:13 = 11:08

So, the train will arrive at the town at 11:08.

Step 3

(b) Calculate the distance from station A to station C.

96%

101 rated

Answer

To find the total distance from station A to station C, add the distances from station A to station B and station B to station C:

Distance from A to C = Distance from A to B + Distance from B to C

Distance from A to C=713km+552km=1265km\text{Distance from A to C} = 713 \, \text{km} + 552 \, \text{km} = 1265 \, \text{km}

Thus, the distance from station A to station C is 1265 km.

Join the NSC students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;