SOLUTION: One person can do a certain job in one-half hour, and another person can do the same job in one hour and ten minutes. How many minutes will they take to do the job together?

Question 972801: One person can do a certain job in one-half hour, and another person can do the same job in one hour and ten minutes. How many minutes will they take to do the job together?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
One person can do a certain job in one-half hour, and another person can do the same job in one hour and ten minutes. How many minutes will they take to do the job together?
one-half hour = .5 hours
one hour and ten minutes = 1+10/60 = 1+1/6 = 7/6 hours
.
Let t = time (hours) it takes for both
then
t(1/.5 + 1/(7/6)) = 1
t(1/.5 + 6/7) = 1
t(1/.5 + 6/7) = 1
multiply both sides by 3.5
t(7 + 3) = 3.5
t(10) = 3.5
t = .35 hour
or
t = .35 *60 = 21 minutes

RELATED QUESTIONS
One person can do a certain job in ten minutes, and another person can do the same job in (answered by stanbon,ikleyn)

One person can do a certain job in twenty-one minutes, and another person can do the same (answered by checkley71)

One person can do a certain job in 15 minutes, and another person can do the same job in... (answered by Maths68)

three people together can do certain job in three hours. Of one of them can the job in... (answered by josgarithmetic)

Three people together can do a certain job in three hours. If one of them can do the job... (answered by josgarithmetic)

One person can do a certain job in six days, a second person can do the same job in two... (answered by mananth)

Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in... (answered by Alan3354)

Two people together can do a certain job in twenty minutes. If one of them can do the job (answered by stanbon)

You can do one half of a job in an hour your friend can do one third of the same job in... (answered by fractalier)