SOLUTION: respected sir, could u plz solve my math prob ... 1]Sam, Angela and Beth can finish a piece of work in 16, 24 and 48 days. However, there is another person Ryan who is a “Demolit

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: respected sir, could u plz solve my math prob ... 1]Sam, Angela and Beth can finish a piece of work in 16, 24 and 48 days. However, there is another person Ryan who is a “Demolit      Log On

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Question 202365: respected sir,
could u plz solve my math prob ...
1]Sam, Angela and Beth can finish a piece of work in 16, 24 and 48 days. However, there is another person Ryan who is a “Demolition Man” and he can undo the entire work in 12 days. Sam and Angela work on the first day, Angela and Beth on the second, Beth and Sam on the third and keep working in this order, and Ryan works on every fourth day. How long would it take them to finish the entire job?
waiting for yur soluation sir.
thank u very much.
regards.
binita

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


With the given information, you can see that

Sam can do of the job in one day,

Angela can do of the job in one day,

Beth can do of the job in one day, and

Ryan can do of the job in one day.

The first day, Sam and Angela do:

of the whole job.

Then next day, Angela and Beth do:

of the whole job.

Which, added to the previous days work:

of the job completed by the end of the 2nd day.

Continuing:

Beth and Sam manage:

of the whole job.

And then

of the job completed by the end of the 3rd day.

Ryan by himself:

of the whole job.

And then

of the job completed by the end of the 4rd day.

But , so in one 4-day cycle, one-third of the entire job is complete. Hence it will take three 4-day cycles, or 12 days to complete the job.

John