2. John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together?
A. 1 hour 12 minutes
B. 1 hour 15 minutes
C. 1 hour 20 minutes
D. 1 hour 30 minutes
E. 1 hour 35 minutes
Solution
Step 1 :Let x = hours John and Julie work together
Step 2 :Rate of John and Julie: \(\frac{1}{3}x + \frac{1}{2}x = 1\)