Answer:
1 1/2 hours. for Karen to catch Jen.
Explanation:
Karen needs to make up 22.5 km which is the distance Jen travels in 1/2 hour.
The distance where they meet must be equal from the starting point.
Jen
Jen is out 1/2 hour longer.
Let the Karen's time = t
d = r * t
d = 45 * (t + 1/2 hour)
Karen
d = 60 * t
The distances are equal
so
Meeting time
45*(t + 1/2 hour) = 60 * t
45t + 22.5 = 60t Subtract 45t from both sides
22.5 = 15t Divide by 15
t = 22.5 / 15
t = 1 1/2 hours = 1.5 hours.
Now you have to interpret the results.
Remember that Jen has travelled 1/2 hour more than Karen
Her time is 2 hours.
Karen's time is 1.5 hours.
Jen travels 2 hours which is 2 * 45 = 90 miles
Karen travels 1 1/2 hours which is 1.5 * 60 = 90 miles
