Sue was in excellent shape in high school, she could ride her 10-speed bicycle 4.8miles to her grandmother's house in 11 minutes. Her return trip home took 14 minutes. The times are different due to there being a slight downhill slop on part of the trip to her grandmothers. If sue was able to ride her bike on a perfectly flat surgace with no hills, how fast can he travle in miles/hour?
To find Sue's speed in miles per hour (mph), we need to convert the time taken for each leg of the trip (to her grandmother's house and back home) from minutes to hours.
Let's start with the distance to her grandmother's house. We know she can ride 4.8 miles in 11 minutes. To convert this time to hours, we divide it by 60 (since there are 60 minutes in an hour).
11 minutes ÷ 60 = 0.1833 hours
Now, let's find Sue's speed by dividing the distance (4.8 miles) by the time (0.1833 hours):
Speed to grandmother's house = distance ÷ time
Speed to grandmother's house = 4.8 miles ÷ 0.1833 hours
Calculating this, we find that Sue's speed to her grandmother's house is approximately 26.16 mph.
Next, let's calculate her speed on the return trip. She took 14 minutes, which is equal to 14 ÷ 60 = 0.2333 hours.
Speed back home = distance ÷ time
Speed back home = 4.8 miles ÷ 0.2333 hours
Calculating this, we find that Sue's speed on her return trip is approximately 20.57 mph.
Since her return trip took longer than the trip to her grandmother's house, we can conclude that the slight downhill slope on the way to her grandmother's house contributed to her higher speed.
To find Sue's speed on a perfectly flat surface with no hills, we can take the average of her speeds to her grandmother's house and back home:
Average speed = (Speed to grandmother's house + Speed back home) ÷ 2
Average speed = (26.16 mph + 20.57 mph) ÷ 2
Calculating this, we find that Sue's speed on a perfectly flat surface with no hills is approximately 23.37 mph.