How long will it take to travel 614 km. when you are moving at a rate of 5 cm. per year?

1 km = 1000 m = 100,000 cm

(614 * 100,000) / 5 = _________ years

12,280,000 years?

Correct.

To calculate the time it takes to travel a distance, we can use the formula:

Time = Distance / Speed

In this case, the distance is 614 km (or 614,000 meters) and the speed is 5 cm/year. However, we need to ensure that the units are consistent. So, we need to convert the speed from cm/year to km/year.

1 km = 100,000 cm

Therefore, we can convert the speed from cm/year to km/year by dividing it by 100,000:

Speed = 5 cm/year / 100,000 = 0.00005 km/year

Now, we can substitute the values into the formula:

Time = 614 km / 0.00005 km/year

Simplifying this calculation, we can divide the distance by the speed:

Time = 614,000 km / 0.00005 km/year

Time = 12,280,000,000 years

So, it would take approximately 12,280,000,000 years to travel 614 km at a rate of 5 cm per year.