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?
since Mickey had only gone 5/6 of the way, Dylan's speed was 6/5 of his.
The last 1/6 (40 mi) of the trip took Mickey 48 minutes.
That should get you started.
To answer these questions, we need to make some calculations based on the given information.
a) To find out how long it took Mickey to drive to the city, we need to calculate the time difference between Dylan reaching the city and Mickey completing the trip.
First, we need to convert 48 minutes to hours. Since there are 60 minutes in an hour, we can divide 48 by 60 to get the time in hours: 48 minutes ÷ 60 minutes/hour = 0.8 hours.
Since Dylan and Mickey drove together, the time it took Mickey to complete the trip after Dylan reached the city is the same as the time it took Dylan to drive the entire distance. We already know that Dylan's journey took until 8 A.M., so we just need to subtract 0.8 hours from that time.
Thus, 8 A.M. - 0.8 hours = 7.2 A.M.
Therefore, it took Mickey 7.2 hours (or 7 hours and 12 minutes) to drive to the city.
b) To find Dylan's driving speed in mph, we divide the total distance traveled (240 miles) by the time it took Dylan to reach the city.
Since Dylan reached the city at 8 A.M. and we know Mickey took an additional 48 minutes, we have to calculate the total time it took Dylan to reach the city.
Dylan's travel time = 8 A.M. - 7.2 A.M. = 0.8 hours.
Now we can calculate Dylan's driving speed:
Driving speed = Total distance ÷ Total time
Driving speed = 240 miles ÷ 0.8 hours
Driving speed = 300 mph
Therefore, Dylan's driving speed was 300 mph.