Question

8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. find the time taken by the one girl alone that by one boy alone to finish the work.

Answer 1

Step-by-step explanation:

one girl can do work in 140 days

one boy is 280 days

Answer 2

Answer:

Step-by-step explanation:

Hi,  

8 boys and 12 girls can finish the work in 10 days, while 6 boys and 8 girls can finish it in 14 days

Note: work PER Day KEY

Let x and y represent work done per day by boy and girl respectively:

 

8x + 12y = 1/10      

6x  + 8y = 1/14    |multiplying thru by -3/2 to  eliminate the y variable

8x + 12y = 1/10      

-9x  -12y = -3/28    |result of multiplying thru by -3/2 to  eliminate the y variable

    x = 1/140  and y = 1/280, work PER Day by each

time taken by 1 boy alone140days and 1 girl alone280days to finish the work.