Problema Solution
Barry can do a certain job in 10 hours, whereas it takes Samuel 12 hours to do the same job. How long would it take them to do the job working together?
Answer provided by our tutors
Barry can do a certain job in 10 hours thus his rate is 1/10 of the job per hour.
It takes Samuel 12 hours to do the same job thus his rate is 1/12 of the job per hour.
Let x = the hours needed to do the job together thus the together rate is 1/x of the job per hour.
Now we can write:
1/10 + 1/12 = 1/x
by solving we find:
x = 60/11 hr
x = 5 5/11 hr
x = 5.45 hr
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it will take them 5.45 hours to finish the job together.