SOLUTION: A can do certain task in 8 hours, B in 10 hours and C in 12 hours. How long will it take to do the task if A and B work 1 hour and then A and C finish the task?

Question 1103606: A can do certain task in 8 hours, B in 10 hours and C in 12 hours. How long will it take to do the task if A and B work 1 hour and then A and C finish the task?
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.

Rate of work of A is  of the job per hour; of B is  and of C  of the job per hour.

When A and B worked together for 1 hour, they completed  =  =  of the job.

Hence,  =  of the work remained uncompleted.


The combined rate of work for B and C is  =  = .


So, the answer to the problem question is this ratio   =  =  =  hours =  hours.

RELATED QUESTIONS
A,B and C working together can do a certain task in 6 hours. A & B can do the task in 9... (answered by ptaylor)

A,B and C working together can do a certain task in 6 hours. A & B can do the task in 9... (answered by ankor@dixie-net.com)

A man can do a certain task in 21 hours, another man can do the task in 28 hours and a... (answered by richwmiller,Edwin McCravy)

A can do a certain work in 21 hrs. B can do the task in 28 hrs, C can do the task in 48... (answered by Alan3354)

bob takes 8 hours to do a task while his son takes 10 hours. How long will it take them... (answered by josgarithmetic)

Set up a system of three equations with three variables. A, B, and C complete a task in... (answered by richwmiller)

A, B, and C complete a task in 3 days. On the first day they do 1/3 of the task with A... (answered by richwmiller)

1 man can do a task in 2 hours, another man can do the same task in 6 hours, how long... (answered by Alan3354)

If two boys working together can complete a task in 2.5 hours and A working alone can... (answered by josgarithmetic)