Final answer:
Diego and Jonathan are approaching each other at a combined speed of 8.5 m/s with 600 meters between them. It will take them approximately 70.59 seconds to meet at the same spot.
Step-by-step explanation:
Diego is riding his skateboard due east at 5 m/s while Jonathan is riding his skateboard due west at 3.5 m/s. Since they are moving in opposite directions, their relative speed towards each other is the sum of their individual speeds. To find out how long it will take for them to meet at the same spot, we need to divide the total distance between them by the relative speed.
The relative speed is 5 m/s + 3.5 m/s = 8.5 m/s. With a distance of 600 meters between them, we can calculate the time taken to meet using the formula time = distance / speed. Plugging in the values gives us time = 600 m / 8.5 m/s.
After performing the division, we find that the time taken for Diego and Jonathan to meet is approximately 70.59 seconds.