Final answer:
It will take 3.75 hours or 3 hours and 45 minutes to finish the 2 1/2 mile race walking at a speed of 2/3 of a mile per hour by using the formula Time = Distance / Speed and performing the appropriate arithmetic operations.
Step-by-step explanation:
Calculating Time Based on Speed and Distance
To determine how long it will take you and your friends to finish a 2 1/2 mile race walking at a speed of 2/3 of a mile per hour, you would use the formula:
Time = Distance / Speed
In this case, the Distance is 2 1/2 miles, which can also be written as 2.5 miles. The given Speed is 2/3 of a mile per hour. To find the time, divide the total distance by the speed:
Time = 2.5 miles / (2/3 miles/hour)
To perform the division, you multiply by the reciprocal of the speed:
Time = 2.5 miles × (3/2 hours/mile) = 3.75 hours
Therefore, it will take you and your friends 3.75 hours or 3 hours and 45 minutes to finish the race at your current pace.
When calculating the time taken to complete a race or journey, it's important to ensure the units are consistent and to apply basic arithmetic operations correctly. For example, if a marathon runner averages 9.5 miles per hour, knowing that a marathon is 26.22 miles, you can use the same formula to calculate the time taken. The process involves dividing the total distance of the marathon by the average speed of the runner.