6. Columbus' ships covered approximately 144 miles a day. How many miles would they have traveled in nine days? What was the average speed per hour? If there were two days when the weather did not permit movement, how many miles a day would they have to travel to make up the time if they needed to cover the same amount of miles? Under these conditions, what would the average speed per hour be?
1,296 miles in nine days
144 miles a day
6 miles per hr
1296 / 7 = 185.14285 miles
It would have to travel 155.14285 miles per day to make up for two days of calm.
Did I get the average speed and nine days traveled correct
Yes.
To find out how many miles Columbus' ships would have traveled in nine days, we can simply multiply the distance covered per day (144 miles) by the number of days (9):
144 miles/day * 9 days = 1,296 miles
Therefore, Columbus' ships would have traveled approximately 1,296 miles in nine days.
To calculate the average speed per hour, we need to know the total time it took to cover the distance. We can assume that Columbus' ships were in operation for around 24 hours each day. Therefore, to find the average speed per hour, we divide the total distance (1,296 miles) by the total time (24 hours * 9 days = 216 hours):
1,296 miles / 216 hours = 6 miles per hour
Thus, the average speed per hour for Columbus' ships during this journey is 6 miles.
Now, let's consider the scenario where there were two days when the weather did not permit movement. In this case, we need to determine the number of remaining days to cover the same distance (1,296 miles - 144 miles * 2 days = 1,008 miles) and find the new average daily speed to make up for the lost time.
To determine the new average daily speed, we divide the remaining distance (1,008 miles) by the number of remaining days (9 days - 2 days = 7 days):
1,008 miles / 7 days = 144 miles per day
Therefore, under the given conditions, Columbus' ships would have to travel approximately 144 miles per day to cover the same amount of miles.
To calculate the new average speed per hour, we divide the new daily distance (144 miles) by the total time (216 hours) as before:
144 miles / 216 hours = 0.67 miles per hour
Hence, the average speed per hour for Columbus' ships, considering the scenario with two days of weather delay, is approximately 0.67 miles.