SOLUTION: 1.I takes Jose 6 hours to change the breaks on his car. His wife Betty can do the breaks in 8 hours. How long would it take them if they work together? NOTE:( can you please

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Question 286491: 1.I takes Jose 6 hours to change the breaks on his car. His wife Betty can do the breaks in 8 hours. How long would it take them if they work together?


NOTE:( can you please show the work or somehow explain them so i can understand how to do it..thank you)
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
brakes for stopping are brakes.
Break down is when something breaks and is broken.
x/6+x/8=1
8x+6x=48
14x=48
7x=24
x=24/7 =3 3/7 hours
24/7/6+24/7/8=1
4/7 +3/7=1
Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
1.I takes Jose 6 hours to change the breaks on his car. His wife Betty can do the breaks in 8 hours. How long would it take them if they work together?

Make this chart, putting in 1 for the no of jobs done,
the given times to do the job and the unknown x for 
the quantity that was asked for, namely the time it
would take both together: 


             Number of       Rate in       Time in 
             Jobs Done      Jobs/hour       hours
Jose alone        1                            6
Betty alone       1                            8
both together     1                            x


Now use the formula



to fill in the three rates:

             Number of       Rate in       Time in 
             Jobs Done      Jobs/hour       hours
Jose alone        1            1/6             6
Betty alone       1            1/8             8
both together     1            1/x             x

Now to set up the equation, we use:

 



Can you solve that for x?  If not post again asking how.

Answer  hours.

Edwin
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