Question

1 You’re a travelling sales rep. You live in city A and need to drive to City B and then on to City C for business. You then need to drive back to city A. You will rent a new car in each city. The distance from A to B is 250 miles, from B to C is 175 miles and from A to C is 320 miles. You start at A and go the shortest route next to B then to C and then back to A. The car rented in City A gets 10 km per liter of fuel. The car rented in City B gets 18 km per liter and the car rented in city C 24 km per liter. Gas costs $4.25 US per gal. You drive From City A to City B at an average speed of 120 km per hr. You drive from City B to City C at an average speed of 100 km per hr. You drive from City C to City A at an average speed of 140 km per hr. The exchange rate is 0.85 Euro per $1. 1) How far is the total distance in Kilometers? 2) How much will you spend on gas in euros? 3) How long will it take you to make the round trip not including any rest? Driving time only in minutes. 4) Suppose that while you are in City B you find out that you do not need to go to city C and decide to keep your initial car and drive back to City A. How much will this trip cost for gas in euros?

Answer 1

Total distance = 250 miles + 175 miles + 320 miles = 745 miles = 1207.2 km

Total cost = (250 miles / 10 km/L * 4.25 $/gal + 175 miles / 18 km/L * 4.25 $/gal + 320 miles / 24 km/L * 4.25 $/gal) * 0.85 Euro/$ = €113.55

Total driving time = (250 miles / 120 mph * 60 min/hr + 175 miles / 100 mph * 60 min/hr + 320 miles / 140 mph * 60 min/hr) = 5.0417 hours = 304 min

Cost of trip back to City A = 250 miles / 10 km/L * 4.25 $/gal * 0.85 Euro/$ = €52.88

Explanation: