MathDB

When planning a trip from Temuco to the extreme north of the country, a truck driver notices that to cross the Atacama desert you must cross a distance of

800

km between two stations consecutive service. Your truck can only store

50

liters of benzene, and has a yield of

10

km per liter. The trucker can leave gasoline stored in cans on the side of the road in different points along the way. For example, with an initial total charge of

50

liters you can travel

100

km, leave

30

liters stored at the point you reached, and return to the starting point (with zero load) to refuel. The trucker decides to start the trip and arrives at the first service station with a zero load of fuel.
a) Can the trucker cross the desert if at this service station the total supply is

140

liters? b) Can the trucker cross the desert if the total supply of gasoline at the station is

180

liters?

Problem Statement