Final answer:
The man will catch the bus in approximately 4.8 seconds.
Step-by-step explanation:
To find the time it takes for the man to catch the bus, we need to calculate the time it takes for the man to cover the initial distance of 48m at his constant velocity of 10m/s. The formula for time is:
time = distance / speed
Substituting the values we have:
time = 48m / 10m/s = 4.8s
Therefore, it will take the man approximately 4.8 seconds to catch the bus.