The planet Pluto (radius 1180 km) is populated by three species of purple caterpillar. Studies have established the following facts: ˆ

A line of 5 mauve caterpillars is as long as a line of 7 violet caterpillars. ˆ 

A line of 3 lavender caterpillars and 1 mauve caterpillar is as long as a line of 8 violet caterpillars. ˆ

A line of 5 lavender caterpillars, 5 mauve caterpillars, and 2 violet caterpillars is 1 m long in total. ˆ 

A lavender caterpillar takes 10 seconds to crawl the length of a violet caterpillar. ˆ

Violet and mauve caterpillars both crawl twice as fast as lavender caterpillars. How long would it take a mauve caterpillar to crawl around the equator of Pluto?