Photo AI

A train left Richmond at 6:42 am and arrived at Central Station at 8:04 am - HSC - SSCE Mathematics Standard - Question 11 - 2024 - Paper 1

Question 11

A train left Richmond at 6:42 am and arrived at Central Station at 8:04 am. The distance travelled by the train from Richmond to Central was 61 km. What was the ave... show full transcript

Worked Solution & Example Answer:A train left Richmond at 6:42 am and arrived at Central Station at 8:04 am - HSC - SSCE Mathematics Standard - Question 11 - 2024 - Paper 1

Step 1

Calculate the time taken for the journey

96%

114 rated

Answer

The train left at 6:42 am and arrived at 8:04 am. The duration of the journey can be calculated as follows:

From 6:42 am to 7:00 am is 18 minutes. From 7:00 am to 8:00 am is 1 hour (or 60 minutes). From 8:00 am to 8:04 am is an additional 4 minutes.

So, total time taken = 18 + 60 + 4 = 82 minutes.

Step 2

Convert the time to hours

99%

104 rated

Answer

To find the average speed in km/h, we should convert the total time from minutes to hours. Therefore:

Total time in hours = ( \frac{82}{60} \approx 1.367 ) hours.

Step 3

Calculate the average speed

96%

101 rated

Answer

Average speed is given by the formula:

$\text{Average Speed} = \frac{\text{Distance}}{\text{Time}}$

Plugging in the values:

$\text{Average Speed} = \frac{61\text{ km}}{1.367\text{ hours}} \approx 44.7 \text{ km/h}$

Rounding to the nearest km/h gives an average speed of 45 km/h.

Join the SSCE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;