SOLUTION: A certain solar collector can absorb 9.0 MJ in 7.0 h. Another panel is added, and together they collect 47 MJ in 5.0 h. How long would it take the new panel alone to collect 47 MJ?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A certain solar collector can absorb 9.0 MJ in 7.0 h. Another panel is added, and together they collect 47 MJ in 5.0 h. How long would it take the new panel alone to collect 47 MJ?      Log On


   

Question 1054447: A certain solar collector can absorb 9.0 MJ in 7.0 h. Another panel is added, and together they collect 47 MJ in 5.0 h. How long would it take the new panel alone to collect 47 MJ?
Round your answer to 1 decimal place.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find each panel's rate.
R%5B1%5D%2A7=9
R%5B1%5D=9%2F7
and
%28R%5B1%5D%2BR%5B2%5D%295=47
Substituting,
9%2F7%2BR%5B2%5D=47%2F5
R%5B2%5D=47%2F5-9%2F7
R%5B2%5D=285%2F34
So then,
R%5B2%5D%2At=47
%28285%2F34%29%2At=47
t=%2834%2A47%29%2F285
t=5.6hr