SOLUTION: Annika can do the weekly billing in 2h. Asa can do it in 3h. If Annika works for 30 min and is them joined by Asa, how long will it take them to finish?

Question 318276: Annika can do the weekly billing in 2h. Asa can do it in 3h. If Annika works for 30 min and is them joined by Asa, how long will it take them to finish?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

If Annika has worked for 30 minutes on a job that would take her 2 hours, then she must have

of the job remaining and that balance must require Annika to work for

hours. If Asa would take 3 hours to do the whole job, then she must require

to to the balance of the job by herself.

Now all you have to do is apply the rule for two entities working together:

If A can do a job in x time periods, then A can do

of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do

of the job in 1 time period.

So, working together, they can do

of the job in 1 time period.

Therefore, they can do the whole job in:

time periods.

John

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