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 Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour.
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour.
Explore Craig's race breakdown: running and biking sections at 8 mph and 20 mph respectively, covering 15 miles in 1.125 hours.
by Maivizhi A
Updated Mar 18, 2024
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire twopart, 15mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?
A)
Activity  Rate (mph)  Time (hours)  Distance (miles) 

Run  8  t  8t 
Bike  20  15  t  20(15  t) 
B)
Activity  Rate (mph)  Time (hours)  Distance (miles) 

Run  8  t  8t 
Bike  20  1.125  t  20(1.125  t) 
C)
Activity  Rate (mph)  Time (hours)  Distance (miles) 

Run  1/8  t  (1/8)t 
Bike  1/20  1.125  t  (1/20)(1.125  t) 
D)
Activity  Rate (mph)  Time (hours)  Distance (miles) 

Run  1/8  t  (1/8)t 
Bike  1/20  15  t  (1/20)(15  t) 
Answer:
The correct table that represents Craig's rates, times, and distances for each part of the race is:
**A)Activity 


Distance (miles)  

Run  8  t  8t  
Bike  20  1.125  t  20(1.125  t) 
Here's the explanation for each column:
 Activity: This column specifies the type of activity, either "Run" or "Bike".
 Rate (mph): This column shows Craig's average speed in miles per hour for each activity.
 Time (hours): This column represents the time Craig spent on each activity, denoted by 't' for the running time.
 Distance (miles): This column shows the distance covered in each activity. We know the total distance is 15 miles, and it's the sum of the running and biking distances.
We can use the given information to fill out the table:
 Total distance: 15 miles (given)
 Total time: 1.125 hours (given)
Running:
 We can use the formula
distance = rate x time
to find the running distance:distance = 8t
 Since the total distance is 15 miles, we can set up an equation:
8t + distance (bike) = 15
Biking:
 We can find the biking time by subtracting the running time from the total time:
biking time = total time  running time = 1.125  t
 The biking distance can be found using the formula
distance = rate x time
:distance (bike) = 20 (1.125  t)
Therefore, by filling out the table with the calculated values, we get the answer choice A.
Time and Distance
Time and distance are fundamental concepts in physics and mathematics that describe how objects move through space.
Time: Time is a measurement used to sequence events, to compare the duration of events, and to quantify the intervals between them. In physics, time is often considered as the fourth dimension along with the three spatial dimensions. It is typically measured in units such as seconds, minutes, hours, days, etc.
Distance: Distance refers to the extent of space between two points or objects. It is a scalar quantity, meaning it has magnitude but no direction. Distance can be measured in various units depending on the context, such as meters, kilometers, miles, etc.
Relationship between Time and Distance: The relationship between time and distance is described by the formula:
Distance = Speed × Time
Where:
 Distance is the extent of space between two points or objects.
 Speed is the rate at which an object covers distance.
 Time is the duration in which the motion occurs.
This formula shows that the distance covered by an object is directly proportional to the speed at which it is moving and the time it travels.
Additionally, if the speed is constant, the relationship between time and distance becomes:
Time = Distance / Speed
This formula can be used to calculate the time taken to cover a certain distance at a constant speed.
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour  FAQs
1. What were Craig's average speeds for running and biking in the race?
Craig's average speed for running was 8 miles per hour, and for biking, it was 20 miles per hour.
2. How long did it take Craig to complete the entire race?
Craig completed the entire race in 1.125 hours.
3. What was the total distance of the race?
The total distance of the race was 15 miles.
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