SOLUTION: Carlo can type a manuscript for 10 hours. he started working then bobby joined him 2 hours later. they worked together for 4 hrs until carlo decided to stop and then bobby had to f

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Carlo can type a manuscript for 10 hours. he started working then bobby joined him 2 hours later. they worked together for 4 hrs until carlo decided to stop and then bobby had to f      Log On


   



Question 1181304: Carlo can type a manuscript for 10 hours. he started working then bobby joined him 2 hours later. they worked together for 4 hrs until carlo decided to stop and then bobby had to finish the manuscript alone. if bobby finished the remaining portion in 6 more hours, how long can he type the whole manuscript working alone?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Carlo works for 2 hours alone and then 4 hours with Bobby, so he works a total of 6 hours. Since he can do the whole job in 10 hours, he does 6/10=3/5 of the job.

That means Bobby does 2/5 of the job.

Bobby works 4 hours with Carlo and then another 6 hours alone, so he worked for a total of 10 hours.

So Bobby does 2/5 of the job in 10 hours; that means the number of hours he would need to do the whole job alone is 10/(2/5)=10(5/2)=25.

ANSWER: 25 hours for Bobby to type the manuscript alone.