Question

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 than 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

Answer 1

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.