SOLUTION: Alexandra and Frank can assemble a King Kong swingset working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a King Kong swingset in 10 hou

Question 523218: Alexandra and Frank can assemble a King Kong swingset working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a King Kong swingset in 10 hours. How long would it take Frank to assemble a King Kong swingset if he worked by himself?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Alexandra and Frank can assemble a King Kong swingset working together in 6 hours. One day, when Frank called in sick, Alexandra was able to assemble a King Kong swingset in 10 hours. How long would it take Frank to assemble a King Kong swingset if he worked by himself?
**
x=hours Frank would take to assemble the swing set by himself
1/x=Frank's work rate
1/10=Alexandra's work rate
1/6=work rate when both working together
sum of individual work rates=work rate when working together
1/x+1/10=1/6
LCD:30x
30+3x=5x
2x=30
x=15
ans:
hours Frank would take to assemble the swing set by himself=15
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