At 7:00 am , Joe starts jogging at 6 mi/h. At 7:10 am. Ken starts off after him. How fast must Ken run in order to overtake him at 7:30 am?
joe would run for 30 minutes or 1/2 hour
Ken would run for 20 minutes or 1/3 hour.
JOe ran (1/2)(6) miles = 3 miles
to run 3 miles in 1/3 hour, ken must have a speed of 3/(1/3) mph = ....
To find out how fast Ken must run in order to overtake Joe, we first need to determine the time difference between Joe starting to jog and Ken starting off.
Since Joe starts jogging at 7:00 am and Ken starts off after him at 7:10 am, there is a time difference of 10 minutes, or 1/6 hour.
Now, we'll calculate the distance traveled by Joe during this time using the formula: Distance = Speed * Time.
Joe's speed is given as 6 mi/h, and the time difference is 1/6 hour.
Distance traveled by Joe = 6 mi/h * (1/6 hour) = 1 mile.
Therefore, when Ken starts running at 7:10 am, Joe is already 1 mile ahead. Ken needs to catch up to Joe within the next 20 minutes (from 7:10 am to 7:30 am).
To find the required speed for Ken, we can use the formula: Speed = Distance / Time.
The distance Ken needs to cover is 1 mile, and he has 20 minutes, or 1/3 hour, to do it.
Required speed for Ken = 1 mile / (1/3 hour) = 3 mi/h.
Therefore, Ken must run at a speed of 3 miles per hour in order to overtake Joe by 7:30 am.