Yumi picks up litter for 3 miles and takes two hours longer than juan, who picks up litter for 2 miles. if it took juan x hours, how long did it take yumi?

Yumi picks up litter for 3 miles and takes two hours longer than juan, who picks up litter for 2 miles.

if it took juan x hours, his rate is 2/x

So it took Yumi x+2 hours, her rate is 3 / (x+2)

Because both them have same rate 2/x=3 / (x+2)

2 (x+2) = 3x

x = 4

It takes Yumi 6 hours.