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Siphiwe and Matete are travelling from Pretoria to the Kruger Park which is 3 km from Hazyview. They are driving at the speed of 120 km/h. They left Pretoria at 01h30 and had to rest for 10 minutes after every 100 km drive.
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3 partsStep-by-step solution
9 stepsPart b(i)· 2 steps
Identify the distances between each point on the journey from Pretoria to Kruger Park.
The distances are:
Pretoria to Witbank:
Witbank to Lydenburg:
Lydenburg to Whiteriver:
Whiteriver to Hazyview:
Hazyview to Kruger Park:Sum all the distances to find the total distance.
The total distance by road from Pretoria to the Kruger Park is .
Part b(ii)
Determine the total distance of the journey.
From part (i), the total distance is .
Allocate driving segments of alternately, starting with Siphiwe.
Siphiwe drives the 1st .
Matete drives the 2nd .
Siphiwe drives the 3rd .
Matete drives the 4th .
Siphiwe drives the 5th .
Remaining distance = .
Matete drives the remaining .Calculate the total kilometres driven by each person.
Siphiwe's total distance = .
Matete's total distance = .
Siphiwe drives and Matete drives .
Part b(iii)
Calculate the driving time.
Total distance = (from part i).
Average speed = .Convert the driving time to hours and minutes.
.
So, the driving time is .Add the rest time to the driving time.
The problem states they stop once for to rest.
Since :
Calculate the arrival time by adding the total travel time to the departure time.
Departure time = .
They reach the Kruger Park at .
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