Rates, SM-Bank 095

Johnno and Zoey are driving from Wahroonga to Ballarat which is a distance of 825 kilometres.

After every two hours of driving, they rest for 20 minutes and swap drivers.

How long will their trip take if they average 100 km/h when driving? (2 marks)

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\(9\ \text{h }35\ \text{min}\)

Show Worked Solution

\(\text{Driving time}=\dfrac{825}{100}=8.25\ \text{h}\)

\(\text{Number of stops}=4\)

\(\therefore\ \text{Total trip time}\)	\(=8\ \text{h }15\ \text{m}+(4\times 20)\ \text{m}\)
	\(=8\ \text{h }15\ \text{m}+1\ \text{h }20\ \text{m}\)
	\(=9\ \text{h }35\ \text{min}\)