Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes two hours longer tha
n Juan, who picks up litter for 2 miles. If it took Juan x hours, how long did it take Yumi? A. 1 hour 20 minutes B. 3 hours 20 minutes C. 4 hours D. 6 hours
Juan's time = x Yumi's time = x + 2 Yumi's distance = 3 miles Juan's distance = 2 miles Rate = distance/time Juan's rate = 2/x Yumi's rate = 3/(x + 2) The rates are equal so: 2/x = 3/(x + 2) 2x + 4 = 3x x = 4 hours Yumi's time = 4 + 2 = 6 hours The answer is D.
