QuestionJeep driver is 30% negligent, Polo driver 70%. Jeep damage is R50,000. Polo's pre-accident value: R150,000, salvage: R10,000. Who pays whom and how much?

Studdy Solution

STEP 1

Assumptions1. The damage to the Jeep is R50,000. The pre-accident value of the Polo is R150,0003. The salvage value of the Polo is R10,0004. The Jeep driver was30% negligent5. The Polo driver was70% negligent

STEP 2

First, we need to calculate the actual loss for each vehicle. For the Jeep, the loss is equal to the damage, which is R50,000.
For the Polo, the loss is the pre-accident value minus the salvage value.
$Loss_{olo} = Pre-accident\, value_{olo} - Salvage\, value_{olo}$

STEP 3

Now, plug in the given values for the pre-accident value and salvage value of the Polo to calculate the loss.
$Loss_{olo} = R150,000 - R10,000$

STEP 4

Calculate the loss for the Polo.
$Loss_{olo} = R150,000 - R10,000 = R140,000$

STEP 5

Next, we need to calculate the amount each driver must pay for the damage they caused. This is done by multiplying the loss of each vehicle by the percentage of negligence of the driver who caused the damage.
For the Jeep, the Polo driver must pay $Damage_{olo\, to\, Jeep} = Loss_{Jeep} \\times Negligence_{olo\, driver}$ For the Polo, the Jeep driver must pay $Damage_{Jeep\, to\, Polo} = Loss_{olo} \\times Negligence_{Jeep\, driver}$

STEP 6

Now, plug in the given values for the loss of the Jeep and the negligence of the Polo driver to calculate the damage the Polo driver must pay.
$Damage_{olo\, to\, Jeep} = R50,000 \\times70\%$

STEP 7

Convert the percentage to a decimal value.
$70\% =0.7$ $Damage_{olo\, to\, Jeep} = R50,000 \\times0.7$

STEP 8

Calculate the damage the Polo driver must pay.
$Damage_{olo\, to\, Jeep} = R50,000 \\times0.7 = R35,000$

STEP 9

Now, plug in the given values for the loss of the Polo and the negligence of the Jeep driver to calculate the damage the Jeep driver must pay.
$Damage_{Jeep\, to\, Polo} = R140,000 \\times30\%$

STEP 10

Convert the percentage to a decimal value.
$30\% =0.3$ $Damage_{Jeep\, to\, Polo} = R140,000 \\times0.3$

STEP 11

Calculate the damage the Jeep driver must pay.
$Damage_{Jeep\, to\, Polo} = R140,000 \\times0.3 = R42,000$ The Polo driver must pay R35,000 to the Jeep driver, and the Jeep driver must pay R42,000 to the Polo driver.

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