Jeffrey biked to the store at 12 miles an hour but took his time on the way home going 8 miles an hour. If it took him 20 minutes to get to the store, how many minutes did it take him to get back?
20/12 = x/8
Solve for x.
To solve this question, we need to use the formula distance = speed × time.
Jeffrey traveled to the store at a speed of 12 miles per hour. The distance to the store can be calculated by multiplying the speed by the time. The time Jeffrey took is given as 20 minutes, which we'll need to convert to hours.
To convert minutes to hours, we divide by 60 since there are 60 minutes in an hour:
20 minutes ÷ 60 minutes/hour = 1/3 hour
Now we can calculate the distance to the store:
distance = speed × time
distance = 12 miles/hour × 1/3 hour
distance = 4 miles
So, Jeffrey traveled 4 miles to the store.
On the way back, Jeffrey biked at a speed of 8 miles per hour. We know the distance he traveled back is also 4 miles since it's the same distance as he traveled to the store.
Now we need to find the time it took him to travel the 4 miles at a speed of 8 miles per hour.
To find the time, we can rearrange the formula distance = speed × time to solve for time:
time = distance ÷ speed
time = 4 miles ÷ 8 miles/hour
time = 0.5 hours
To convert hours to minutes, we multiply by 60 since there are 60 minutes in an hour:
0.5 hours × 60 minutes/hour = 30 minutes
Therefore, it took Jeffrey 30 minutes to get back home.