Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry began helping her, how long will it take them to do the job? hour (s)
not 4/5 hours
For each of the given statements:
• Determine the values of x for which each statement is true.
• Show the set of all points corresponding to the values of x on a number line.
"Example" . x<-3:3 7
The fraction of the job that Janet can do in one hour = 1/3
So...if she works for 1 hour prior to Garry joining in, the fraction of the job left to complete is 1 - 1/3 = 2/3
And the fraction of the job that Garry can do in one hour = 1/2
So.....we have that rate * time = fraction of job done...so...
(1/3)x + (1/2)x = 2/3 simplify
(5/6)x = 2/3 multiply both sides by 6/5
x = (2/3) (6/5) = 12/15 = 4/5 hours
So.....the total number of hours spent on the job = 1 hour + 4/5 hours = 9/5 hours