At 8 A.M., Dylan and his neighbor, Mickey, drove in their cars to a city that was 240 mi. away from their neighborhood. When Dylan reached the city, Mickey had 40 mi. to go. He finally completed the trip 48 minutes later.
a) How long did it take Mickey to drive to the city?
b) What was Dylan’s driving speed in mph?
To find the answer to these questions, we need to use the information given in the problem.
a) To find out how long it took Mickey to drive to the city, we need to calculate the time difference between when Dylan arrived and when Mickey arrived. We know that Dylan completed the trip in 8 A.M., and Mickey completed it 48 minutes later.
To calculate this, we can convert 48 minutes to hours by dividing it by 60 (since there are 60 minutes in an hour).
48 minutes ÷ 60 minutes/hour = 0.8 hours
So, it took Mickey 0.8 hours to drive the remaining 40 miles.
b) To find Dylan's driving speed in mph, we need to calculate the average speed. We can do this by dividing the total distance Dylan traveled by the time it took him to complete the trip.
Dylan traveled 240 miles, and we know he arrived at 8 A.M., so we need to find out the time it took him to travel that distance.
To calculate this, we use the equation:
Speed = Distance ÷ Time
Rearranging the formula, we have:
Time = Distance ÷ Speed
So, we can calculate the time it took Dylan to drive 240 miles using this formula.
Time = 240 miles ÷ Speed
We know that Dylan completed the trip by 8 A.M., so the time taken is 0 hours.
Therefore, 0 hours = 240 miles ÷ Speed
To find Dylan's driving speed, we need to divide the distance by the time:
Speed = Distance ÷ Time
So, Dylan's driving speed is:
Speed = 240 miles ÷ 0 hours
However, dividing by 0 is undefined, which means there is an error in the problem. It is not possible for Dylan to complete a 240-mile trip in 0 hours. Please check the problem for any missing or incorrect information.
a) To find out how long it took Mickey to drive to the city, we first need to determine the distance he had left when Dylan reached the city.
Since the distance from their neighborhood to the city is 240 miles, and Mickey had 40 miles to go when Dylan reached the city, Mickey had already covered 240 - 40 = 200 miles.
Now, we can calculate the time taken by Mickey to drive to the city by using the formula: Speed = Distance / Time.
Let's assume that Mickey's driving speed is represented by V mph, and the time he took to cover 200 miles is represented by T hours.
We have the equation: V = 200 / T.
To find T, we need to convert the given time of 48 minutes into hours. There are 60 minutes in an hour, so 48 minutes is equal to 48 / 60 = 0.8 hours.
Now we can substitute the known values into the equation:
V = 200 / 0.8
Simplifying this equation, we get:
V = 250 mph
Therefore, Mickey's driving speed was 250 mph.
b) To find Dylan's driving speed, we can use the following formula: Speed = Distance / Time.
We know that the distance from their neighborhood to the city is 240 miles, and Dylan reached the city when Mickey had 40 miles to go. Therefore, Dylan covered a distance of 240 - 40 = 200 miles.
Now, we can use the formula to find Dylan's driving speed:
Speed = 200 / Time
To find the time, we need to convert 48 minutes into hours. We already found that 48 minutes is equal to 0.8 hours.
Now we substitute the known values into the equation:
Speed = 200 / 0.8
Simplifying this equation, we get:
Speed = 250 mph
Therefore, Dylan's driving speed was also 250 mph.