1a. Nancy's average speed is 8 miles per hour.
1b. Abigail's average speed is approximately 32 kilometers per hour.
2a. Cindy can travel a distance of 28 miles in 3 hours 30 minutes.
2b. It will take approximately 3 hours for the airplane to travel a distance of 1980 miles.
3a. The airplane can travel a distance of 2925 miles in 3 3/4 hours.
3b. Mary will take 15 minutes to travel a distance of 2 miles.
1a. To find Nancy's average speed in miles per hour, we divide the total distance traveled by the total time taken.
Nancy rides her horse 20 miles in 2 1/2 hours. First, we need to convert the time to hours. Since there are 60 minutes in an hour, 2 1/2 hours is equal to 2 + 1/2 = 2.5 hours.
Next, we divide the distance traveled (20 miles) by the time taken (2.5 hours):
Average speed = Distance / Time
= 20 miles / 2.5 hours
= 8 miles per hour
Therefore, Nancy's average speed is 8 miles per hour.
1b. To find Abigail's average speed in kilometers per hour, we divide the total distance traveled by the total time taken.
Abigail drives her car 152 km in 4 hours 45 minutes. First, we need to convert the time to hours. Since there are 60 minutes in an hour, 4 hours 45 minutes is equal to 4 + 45/60 = 4.75 hours.
Next, we divide the distance traveled (152 km) by the time taken (4.75 hours):
Average speed = Distance / Time
= 152 km / 4.75 hours
≈ 32 km per hour
Therefore, Abigail's average speed is approximately 32 kilometers per hour.
2a. To find the distance Cindy can travel in 3 hours 30 minutes, we multiply her speed (8 miles per hour) by the time taken.
Cindy rides her horse with a constant speed of 8 miles per hour. First, we need to convert the time to hours. Since there are 60 minutes in an hour, 3 hours 30 minutes is equal to 3 + 30/60 = 3.5 hours.
Next, we multiply the speed (8 miles per hour) by the time taken (3.5 hours):
Distance = Speed × Time
= 8 miles per hour × 3.5 hours
= 28 miles
Therefore, Cindy can travel a distance of 28 miles in 3 hours 30 minutes.
2b. To find the time it will take for the airplane to travel a distance of 1980 miles, we divide the distance by the speed of the airplane.
The airplane flies with a constant speed of 660 miles per hour.
Next, we divide the distance traveled (1980 miles) by the speed of the airplane (660 miles per hour):
Time = Distance / Speed
= 1980 miles / 660 miles per hour
≈ 3 hours
Therefore, it will take approximately 3 hours for the airplane to travel a distance of 1980 miles.
3a. To find the distance the airplane can travel in 3 3/4 hours, we multiply its speed (780 miles per hour) by the time taken.
The airplane flies with a constant speed of 780 miles per hour. First, we need to convert the time to hours. Since there are 60 minutes in an hour, 3 3/4 hours is equal to 3 + 3/4 = 3.75 hours.
Next, we multiply the speed (780 miles per hour) by the time taken (3.75 hours):
Distance = Speed × Time
= 780 miles per hour × 3.75 hours
= 2925 miles
Therefore, the airplane can travel a distance of 2925 miles in 3 3/4 hours.
3b. To find the time it will take for Mary to travel a distance of 2 miles, we divide the distance by her speed.
Mary rides her bike with a constant speed of 8 miles per hour.
Next, we divide the distance traveled (2 miles) by her speed (8 miles per hour):
Time = Distance / Speed
= 2 miles / 8 miles per hour
= 1/4 hour
= 15 minutes
Therefore, it will take Mary 15 minutes to travel a distance of 2 miles.