SOLUTION: raphael can load a large shipping truck in 15 hours. working together, raphael and jana can load the same truck in 6 hours. how long would it take to load the truck by herself?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: raphael can load a large shipping truck in 15 hours. working together, raphael and jana can load the same truck in 6 hours. how long would it take to load the truck by herself?       Log On


   

Question 187008: raphael can load a large shipping truck in 15 hours. working together, raphael and jana can load the same truck in 6 hours. how long would it take to load the truck by herself?
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
Use equation

t(1/rate1 + 1/rate2) = 1

rate1 = raphael's rate = 15 hrs, rate2 = janas rate = x



t(1/15+1/x)=1

t is given as t=6

----> 6(1/15+1/x)=1

1/15+1/x=1/6


2x+30=5x

30=3x

x=10

Ans: jana can load the truck in 10 hrs