Cinderella and Sleeping Beauty are drafting architectural plans for a cathedral. Cinderella can independently complete the job in 280 hours. Sleeping Beauty can independently complete the job in 700 hours.
If they work together, then how long will it take for them to complete the job? 200 hours
Verify the Answer
Distance of entire job = Cinderella's distance + Sleeping Beauty's Distance
- 1 = (1/280)t + (1/700)t
- 1 = (1/280)(200) + (1/700)(200)
- 1 = 5/7 + 2/7
- 1 = 7/7
- 1 = 1