SOLUTION: You are 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

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Question 1196088: You are 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 must 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 get 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 Dollar US. 

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 by ElectricPavlov(122) About Me  (Show Source):
You can put this solution on YOUR website!
**1. Total Distance in Kilometers**
* **Convert Miles to Kilometers:**
* 1 mile = 1.60934 kilometers
* A to B: 250 miles * 1.60934 km/mile = 402.335 km
* B to C: 175 miles * 1.60934 km/mile = 281.635 km
* A to C: 320 miles * 1.60934 km/mile = 514.989 km
* **Total Distance:**
* A to B + B to C + C to A = 402.335 km + 281.635 km + 514.989 km = **1198.959 km**
**2. Gas Cost in Euros**
* **Calculate Fuel Consumption for Each Leg:**
* A to B: 402.335 km / (10 km/liter) = 40.23 liters
* B to C: 281.635 km / (18 km/liter) = 15.65 liters
* C to A: 514.989 km / (24 km/liter) = 21.46 liters
* **Total Fuel Consumption:** 40.23 liters + 15.65 liters + 21.46 liters = 77.34 liters
* **Fuel Cost in US Dollars:** 77.34 liters * (1 gallon / 3.78541 liters) * $4.25/gallon = $86.53
* **Fuel Cost in Euros:** $86.53 * 0.85 Euros/$ = **€73.55**
**3. Total Driving Time**
* **A to B:** 402.335 km / 120 km/h = 3.35 hours = 201 minutes
* **B to C:** 281.635 km / 100 km/h = 2.82 hours = 169 minutes
* **C to A:** 514.989 km / 140 km/h = 3.68 hours = 221 minutes
* **Total Driving Time:** 201 minutes + 169 minutes + 221 minutes = **591 minutes**
**4. Gas Cost for A to B to A (Using the First Car)**
* **Total Distance (A to B and back):** 402.335 km * 2 = 804.67 km
* **Fuel Consumption:** 804.67 km / (10 km/liter) = 80.47 liters
* **Fuel Cost in US Dollars:** 80.47 liters * (1 gallon / 3.78541 liters) * $4.25/gallon = $90.26
* **Fuel Cost in Euros:** $90.26 * 0.85 Euros/$ = **€76.72**
**Summary:**
* Total Distance: 1198.959 km
* Total Gas Cost (A to B to C to A): €73.55
* Total Driving Time: 591 minutes
* Gas Cost (A to B and back with the first car): €76.72