Final answer:
To calculate the time it will take to reach the destination, convert the fuel economy from miles per gallon to liters per kilometer, calculate the fuel consumption rate, determine the total fuel consumed, divide by the fuel tank capacity, and multiply by the time it takes to refuel.
Step-by-step explanation:
To calculate the time it will take to reach your destination, we need to find the total distance and divide it by the speed at which the motorcycle consumes fuel.
First, convert the fuel economy from miles per gallon to liters per kilometer. Since 1 mile is approximately equal to 1.6 kilometers and 1 gallon is approximately equal to 3.785 liters, 35 mpg is approximately equal to (35/1.6)*(3.785/100) L/km.
Next, calculate the fuel consumption rate in liters per kilometer by dividing the fuel economy by 100. This will give you the liters of gasoline consumed for every kilometer traveled.
Finally, divide the total distance of your trip by the fuel consumption rate to find the total amount of fuel you will consume. Then divide the total fuel consumed by the motorcycle's fuel tank capacity to find the number of times you will need to refuel. Multiply this number by the time it takes to refuel and you will get the total time it will take to reach your destination.
Based on the calculations, the answer is approximately 3 hours and 10 minutes (option b).