If the distance covered to Cape Town was 1420 kilometers calculate the average speed in kilometers per hour at which they drove, correct to TWO decimals places use formula
Time taken 14 hours and 20 minutes
Use formula
Average speed = distance/time
First, we need to convert the time taken into hours. Since there are 60 minutes in an hour, we divide the minutes by 60 to get the fraction of an hour it represents.
20 minutes / 60 = 1/3 hour
Now we can calculate the total time taken in hours:
14 hours + 1/3 hour = 14.33 hours
Now, we can calculate the average speed using the formula:
Average speed = distance/time
Average speed = 1420 km / 14.33 hours
Average speed = 99.16 km/h
Rounded to two decimal places, the average speed at which they drove to Cape Town is 99.16 km/h.
To calculate the average speed in kilometers per hour, we need to divide the total distance covered by the total time taken.
First, we need to convert the time taken into hours. Since there are 60 minutes in an hour, we can convert the minutes to hours by dividing them by 60:
20 minutes / 60 = 1/3 hour
Now we can add this to the hours part of the time taken:
14 hours + 1/3 hour = 14 1/3 hours
Next, we can use the formula:
Average Speed = Total Distance / Total Time
where the total distance is 1420 kilometers and the total time is 14 1/3 hours.
Average Speed = 1420 kilometers / 14 1/3 hours
To calculate this, we need to convert the mixed fraction into an improper fraction:
14 1/3 hours = (14 x 3 + 1) / 3 = 43/3 hours
Substituting the values into the formula:
Average Speed = 1420 kilometers / 43/3 hours
To divide by a fraction, we can multiply by its reciprocal:
Average Speed = 1420 kilometers x 3/43 hours
Multiplying across, we get:
Average Speed = (1420 x 3) / 43 kilometers per hour
Calculating this:
Average Speed = 4260 / 43 kilometers per hour
Rounding this to two decimal places:
Average Speed ≈ 99.07 kilometers per hour
Therefore, the average speed at which they drove to Cape Town was approximately 99.07 kilometers per hour.