Answer
150 m.
Work Step by Step
This is a classic puzzle that can be solved using a geometric series, but there is an easier way.
The insect has a constant speed of 15 m/s. It takes the cars 10 s to come together, because each car has moved 100 m at a steady pace of 10 m/s.
Therefore, the grasshopper travels a distance of (15 m/s)(10 s) = 150 m.
