Question

What happens when unusually strong, warm ocean currents flow along the coasts of Ecuador and Peru?

Answer 1

El Niño is taking place.

Explanation:

Since you only stated on the coasts of Ecuador and Peru, we'll only focus on these two countries.

Ecuador and Peru are located in South America. El Niño, as you actually have stated, is strong, warm ocean currents. El Niño starts out in the central and east-central of the Pacific, which includes the Pacific coast of South America.

Pacific coast of South America. Guess what? That's where Ecuador and Peru are located!

Another note is that the effects of El Niño, by that I mean trade winds and the warm ocean currents, move in the East direction.

If you need to know more about El Niño and it's impact, I'd go on Wikipedia or you can find out more on these two websites:
El Niño
El Niño: Non-Technical Description