[lorieljenkins]

It is the year 2075 and the electric truck is a reality. Jeff is an independent truck driver who delivers vehicles from the factory to the dealers in his very flat state. Jeff's truck (with him and his lunch box in it) weighs 8,000 lbs. From Jeff's house in Small Town to the automobile factory, which is 120 miles away, his truck consumes 99.86 kW-h of energy. He loads up 6 vehicles with a nominal weight each of 3000 lbs. His closet customer, dealership Rip-U-Off, is 200 miles away and Jeff's truck consumes another 543 kW-h getting there. He delivers X trucks toMr. Rip-U-Off and continues on to dealership U-Bought-It to deliver the rest of the vehicles. U-Bought -It is 300 miles from Rip-U-Off and Jeff's truck consumed 436.89 kW-h to get to it. Jeff returns home with his empty truck and consumes 41.61 kW-h to get home (he was so busy that he had no time to eat his lunch).

How many vehicles did each dealer get?
How far is Jeff's home from the U-Bought-It dealership?
Which of the two dealers received a smuggled shipment of potatoes in the trunk of one of the vehicles and how much did the shipment weigh?

[galactus]

This appears to be a wacky proprtions problem.

For instance, to get you started, the distance from Jeff's home from his last stop at

U-Bought-It can be found from the proportion . Solve for y.