1. Gilligan & Skipper

Working, independently Gilligan takes 12 hours to finish a certain work. He finishes 2/3 of the work. The rest of the work is finished by Skipper whose rate is 1/10 of Gilligan. In how much time does Skipper finish his work?

My Effort:

Gilligan takes 12 hours to complete the job. This tells me that he does (1/12) of the job per hour.

Gilligan finishes 2/3 of the job. This tells me that 1/3 of the job remains to be done.

Skipper completes the rest of Gilligan's work. This tell me that Skipper completes (1/10)(1/12) or 1/120 of the rest of the work.

Is this right? If it is right, I did it without algebra. However, I would like to know if there is an equation set for this problem.

2. Re: Gilligan & Skipper

Originally Posted by harpazo
Gilligan finishes 2/3 of the job. This tells me that 1/3 of the job remains to be done.

Skipper completes the rest of Gilligan's work. This tell me that Skipper completes (1/10)(1/12) or 1/120 of the rest of the work.
Why would Skipper complete 1/120 of the work when there was 1/3 to do? Who does the rest?

After Gilligan quits, and leaves 1/3 of the task, there is no more need to refer to Gilligan's rate.

Try again.

3. Re: Gilligan & Skipper

Originally Posted by TKHunny
Why would Skipper complete 1/120 of the work when there was 1/3 to do? Who does the rest?

After Gilligan quits, and leaves 1/3 of the task, there is no more need to refer to Gilligan's rate.

Try again.
If Skipper completes 1/120 of the work in 1 hour, then he will do the work in 1/3 of 40 hours. Right?

4. Re: Gilligan & Skipper

Originally Posted by harpazo
Working independently, Gilligan takes 12 hours to finish a certain work. He finishes 2/3 of the work. The rest of the work is finished by Skipper whose rate is 1/10 of Gilligan. In how much time does Skipper finish his work?
To "understand" what's going on, try this:
Pretend the "work" is travelling 60 miles.
So Gilligan travels 40 miles, then Skipper travels 20 miles.
Gilligan travelled the 40 miles in 8 hours, so speed is 5 mph.

5. Re: Gilligan & Skipper

Originally Posted by DenisB
To "understand" what's going on, try this:
Pretend the "work" is travelling 60 miles.
So Gilligan travels 40 miles, then Skipper travels 20 miles.
Gilligan travelled the 40 miles in 8 hours, so speed is 5 mph.

6. Re: Gilligan & Skipper

Originally Posted by harpazo