SOLUTION: Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.if they work together, how long will it take them to complete the job.
Algebra ->
Proportions
-> SOLUTION: Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.if they work together, how long will it take them to complete the job.
Log On
Question 1095596: Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.if they work together, how long will it take them to complete the job. Found 2 solutions by ankor@dixie-net.com, ikleyn:Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Isaac alone can do a piece of work in 5 days, and his wife, Esther also can do it in 8days.
if they work together, how long will it take them to complete the job.
:
let t = time required when working together
let the completed job = 1
:
Each will do a fraction of the job, the two fractions add up to 1 + = 1
multiply equation by the least common multiple of 5 and 8
40* + 40* = 40
Cancel the denominators
8t + 5t = 40
13t = 40
t = 40/13
t = 3.077 days
Isaac's rate of work is of the job per day.
Esther's rate of work is of the job per day.
Their combined rate of work is the sum of individual rates + = + = of the job per day.
Hence, it will take = days for them to complete the job working together.
---------------
It is a typical joint work problem.
