SOLUTION: Hello. Uhm. I don't know how to answer the question. Can you help me answer it? Gab can finish sewing 100 shirts in 15 days. He has been working for 3 days when he asked help fr

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Hello. Uhm. I don't know how to answer the question. Can you help me answer it? Gab can finish sewing 100 shirts in 15 days. He has been working for 3 days when he asked help fr      Log On


   

Question 422325: Hello. Uhm. I don't know how to answer the question. Can you help me answer it?
Gab can finish sewing 100 shirts in 15 days. He has been working for 3 days when he asked help from another tailor. Together, they finish the job in 3 days. How long can the other tailor do his job alone?
Thanks, in advance!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Gab can finish sewing 100 shirts in 15 days. Or 100/15 = 20/3 per day 

He has been working for 3 days when he asked help from another tailor.

  3*(20/3)  20 shirts done. 

Let x represent the time it takes the other tailor solo

Question states*** Per day the Equalizer.  

Gab solo would take 12 days for 80 shirts  (20/3)/1 = 80/12)

+1%2F12+%2B+1%2Fx+=+1%2F3  |time together for the 80 shirts left

 Solving for x

   x + 12 = 4x |multiplying thru with 12x so as all denominaotrs=1

      12 = 3x

       x = 4days,  the time it would take the other tailor alone for "80 shirts"

   For "100 shirts", it would take the other tailor 5 days.



CHECKING our Answer***

  1/12 + 1/4 = 1/12 + 3/12 = 4/12 = 1/3