Final answer:
Using the formula for distance and given the speeds and time difference, the faster motorcycle traveling for 4 hours longer at 120 km/h will certainly cover a greater distance than the slower motorcycle at 90 km/h. Option A) The faster motorcycle will cover a greater distance is correct.
Step-by-step explanation:
Let's use the information given to find out which motorcycle will cover the greater distance. First, let's denote the time the slower motorcycle is travelling as t hours. Since the faster motorcycle travels for 4 more hours, its travel time will be t+4 hours.
The distance covered by each motorcycle can be calculated using the formula:
Distance = Speed × Time. For the slower motorcycle, the distance will be 90 km/h × t and for the faster one 120 km/h × (t+4).
To determine which motorcycle covers the greater distance, we need to compare the expressions for distance. Since the faster motorcycle travels at a higher speed and for a longer time, it will definitely cover a greater distance, which corresponds to option A). The slower motorcycle, despite its continuous motion, will not be able to catch up in terms of total distance travelled.