c. Using the table of distances, make up your own word problem that would
require someone to use division to solve. Write the problem, and provide the
solution.
Problem: Emily traveled from City A to City B in a car, which covered a distance of 375 miles in 5 hours. She wants to determine the average speed at which she was driving during this trip.
Solution: To calculate the average speed, we divide the total distance traveled by the time taken. Therefore, to find Emily's average speed, we perform the division:
Average Speed = Total Distance / Time Taken
Average Speed = 375 miles / 5 hours
After dividing, we find that Emily's average speed during the trip from City A to City B was 75 miles per hour.
Word Problem:
Sarah is planning a road trip and wants to estimate how long it will take to drive from City A to City C, with a stop in City B.
According to the table of distances, the distance from City A to City B is 200 miles, and the distance from City B to City C is 150 miles.
If Sarah wants to divide the total distance from City A to City C evenly between the two days of driving, how many miles will she drive each day?
Solution:
To find the number of miles Sarah will drive each day, we need to divide the total distance by the number of days.
Total distance from City A to City C: (Distance from City A to City B) + (Distance from City B to City C)
= 200 miles + 150 miles
= 350 miles
Let's assume Sarah plans to drive for two days.
Number of miles Sarah will drive each day: Total distance ÷ Number of days
= 350 miles ÷ 2 days
= 175 miles per day
Therefore, Sarah will drive approximately 175 miles each day to cover the total distance from City A to City C in two days.
Word Problem:
Alice and Bob are planning a road trip. They are going to drive from City A to City B, which are 300 miles apart. Alice will drive the first 2/3 of the distance, while Bob will drive the remaining distance. How many miles will Alice drive, and how many miles will Bob drive?
Solution:
To solve this problem, we need to find out how many miles Alice will drive. Since she is driving the first 2/3 of the total distance, we can calculate it using division.
Step 1: Multiply the total distance between City A and City B by 2/3.
300 miles × 2/3 = 600/3 = 200 miles.
So, Alice will drive 200 miles.
To find out how many miles Bob will drive, we can subtract Alice's distance from the total distance.
Step 2: Subtract Alice's distance from the total distance.
300 miles - 200 miles = 100 miles.
Therefore, Bob will drive 100 miles.
In summary, Alice will drive 200 miles, and Bob will drive 100 miles on their road trip from City A to City B.