Chapter 2, Problem 2.64P

Two cars start 200 m apart and drive toward each other at a steady 10 m/s. On the front of one of them, an energetic grass-hopper jumps back and forth between the cars (he has strong legs!) with a constant horizontal velocity of 15 m/s relative to the ground. The insect jumps the instant he lands, so he spends no time resting on either car. What total distance does the grasshopper travel before the cars hit?