Paul drove from his house to work at an average speed of 40 miles per hour. The drive took him 15 minutes. If the drive home took him 20 minutes and he used the same route in reverse, what was his average speed going home?
To find his average speed going home, we need to convert the time into hours and then divide the distance by the time.
Given:
Distance = ?
Time = 20 minutes = 20/60 = 1/3 hour
We can use the formula: Speed = Distance / Time
To find the distance, we can use the formula: Distance = Speed * Time
Distance = 40 miles per hour * (1/3) hour
Distance = (40/1) * (1/3) = (40/3) miles
Now, we can find the average speed going home using the formula:
Average Speed = Distance / Time
Average Speed = (40/3) miles / (1/3) hour
Average Speed = (40/3) / (1/1) = 40 miles per hour
Therefore, Paul's average speed going home was 40 miles per hour.
To find Paul's average speed going home, we need to calculate the distance he traveled and the time it took.
Given that Paul drove from his house to work at an average speed of 40 miles per hour and the drive took him 15 minutes, we can use the formula:
Distance = Speed * Time
Converting the time to hours, we have:
15 minutes = 15/60 = 0.25 hours
Therefore, the distance from his house to work is:
Distance = 40 miles/hour * 0.25 hours = 10 miles
Now we need to calculate the average speed for his return trip. We know that it took him 20 minutes (0.33 hours) to drive home, which is the same route in reverse.
So, his average speed going home can be calculated using the formula:
Average Speed = Distance / Time
Average Speed = 10 miles / 0.33 hours ≈ 30.3 miles per hour
Therefore, Paul's average speed going home is approximately 30.3 miles per hour.
Speed = distance / time
20 minutes = 20/60 = 1/3 hr
Speed = 40 miles / (1/3) hr
Speed = 120 mp/h
Hence, his average speed returned home is 120 mile per hour.