SOLUTION: Marco can build a laptop twice as fast as Cliff. Working together, it takes them 5 hours. How long would it have taken Marco working alone?

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Question 1198405: Marco can build a laptop twice as fast as Cliff. Working together, it takes them 5 hours. How long would it have taken Marco working alone?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Cliff,
Marco,
The rate for each alone

Rate together, -----------simplify and solve.


Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Marco can build a laptop twice as fast as Cliff. Working together, it takes them 5 hours. How long would it have taken Marco working alone?
Let time Marco takes, alone, be M
Then time Cliff takes, alone, = 2M
Therefore, Marco can do  of job in 1 hour, while Cliff can do  of job in 1 hour
With both taking 5 hours to do entire job, working together, we get: 
                                                                      10 + 5 = 2M ------ Multipluing by LCD, 10M
                                                                          15 = 2M
                             Time Marco takes, doing entire job alone, or

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