Measurement, STD2 EQ-Bank 25

A bus departs Sydney at 8:00 am on Monday for Perth. The bus makes five stops on the journey whose durations are given below:

The total driving time (excluding stops) is 52 hours and 30 minutes. The bus arrives in Perth at 3:25 pm on Thursday.

Calculate the total time for the journey from Sydney to Perth, including all stops. Give your answer in hours and minutes. (2 marks)
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Convert your answer from part (a) to days, hours and minutes, and hence state the day and time the bus arrives in Perth. Ignore time zones in your calculations. (2 marks)
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Show Answers Only

a. \(\text{57 hours 10 minutes}\)

b. \(\text{Bus arrives on Wednesday at 5:10 pm with the journey}\)

\(\text{taking 2 days 9 hours 10 minutes.}\)

Show Worked Solution

a. \(\text{Total stopping time}\)

\(=45+75+50+40+70\)

\(= 280 \text{ minutes}= 4\ \text{hours}\ 40 \text{ minutes} \)

\(\text{Total journey}\)

\(=52\ \text{hours}\ 30 \text{ minutes}+4\ \text{hours}\ 40 \text{ minutes} \)

\(=57\ \text{hours}\ 10 \text{ minutes} \)

b. \(\text{Convert 57 hours 10 minutes to days, hours and minutes:}\)

\(57\ \text{hours}=(2 \times 24) + 9=2\ \text{days}\ 9\ \text{hours}\)

\(57\ \text{ hours 10 minutes}=2\ \text{days}\ 9\ \text{hours}\ 10\ \text{minutes}\)

\(\text{Bus arrival in Perth:}\)

\(\rightarrow\ \text{Bus departs 8 am Monday}\)

\(\rightarrow\ \text{Monday 8:00 am + 2 days = Wednesday 8:00 am}\)

\(\rightarrow\ \text{Wednesday 8:00 am + 9 hours 10 minutes = Wednesday 5:10 pm}\)

\(\therefore\ \text{Bus arrives Wednesday at 5:10 pm.}\)