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 Jana to load the truck by herself

Question 293667: 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 Jana to load the truck by herself?
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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 Jana to load the truck by herself?
---------------------------
Rachael rate = 1/15 job/hr.
---
Together rate = 1/6 job/hr
---
Jana rate = 1/x job/hr
---
Equation:
rate + rate = together rate
1/15 + 1/x = 1/6
Multiply thru by 30x to get:
2x + 30 = 5x
3x = 30
x = 10 hr (time Jana needs to do the job alone)
==================================================
Cheers,
Stan H.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
6/15+6/x=1
2/5+6/x=1
multiply by 5x
2x+30=5x
30=3x
10=x
Jana can do the job alone in 10 hrs.
RELATED QUESTIONS
raphael can load a large shipping truck in 15 hours. working together, raphael and jana... (answered by user_dude2008)
Raphael can load a large shipping truck in 12 hours. Working together, Raphael and Jana... (answered by scott8148)
john can load his truck with peaches in 20 hours. his friend peter takes thrice as long... (answered by jorel555)
john can load his truck with peaches in 18 hours. his friend, peter, takes twice as long... (answered by jorel555,ikleyn)
Is it 90 minutes? I want to check my answer. Ali has hired Mark and Alexis to work... (answered by ikleyn,MathLover1,MathTherapy,greenestamps)
One person can load a truck in 25 minutes, a second can load it in 50 minutes, and a... (answered by ankor@dixie-net.com)
The time taken to load a truck varies inversely with the number of men employed.If 8 men... (answered by amfagge92)
I own a large truck, and my neighbor owns four small trucks that are all identical. My... (answered by ikleyn)
Stan can load his truck in 48 minutes. If his brother helps him, it takes them 30... (answered by checkley79)