6. Two dangerous goods long-haul drivers are contracted to share the driving on one truckload of chemicals over a distance of $1200 \mathrm{~km}$. They are each paid $\$ 55$ per hour for 4 the time spent on the road. The truck consumes fuel at a rate of $10+\frac{v^{2}}{100}$ litres per hour where the average speed of the truck is $v \mathrm{~km}$ per hour. Diesel fuel costs $\$ 1.50$ per litre. Show that to complete the journey the cost $\$ C$ of fuel and wages will be given by $C=\frac{150000}{v}+18 v$, and determine the minimum cost. Give your answer correct to the nearest dollar.

Public Answer

8IJ2IA The First Answerer