Answer:
a) In 2 hours
b) 16 km
Explanation:
Let's first find out how far Abel has traveled in 2 hours. We can use the formula:
distance = speed x time
distance = 4 km/h x 2 h = 8 km
So when Jack starts cycling, Abel has already covered 8 km.
Now, let's say it takes Jack t hours to catch up to Abel. During this time, Abel has continued walking for t + 2 hours. So we can write:
distance covered by Abel = distance covered by Jack
4 km/h x (t + 2 h) = 8 km/h x t
Simplifying this equation, we get:
4t + 8 = 8t
4t = 8
t = 2
So Jack will overtake Abel after 2 hours of cycling. To find out how far they will have traveled, we can use the formula:
distance = speed x time
distance = 8 km/h x 2 h = 16 km
Therefore, when Jack overtakes Abel, they will have traveled 16 km in total.