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. 2 points

Answer 1

Answer: 140, 280

Step-by-step explanation:

8 boys and 12 girls can finish the work in 10 days

while 6 boys and 8 girls can finish it in 14 days

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

8x + 12y = 1/10      

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

8x + 12y = 1/10      

-9x  -12y = -3/28   result of multiplying  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 alone 140 days and 1 girl alone 280 days to finish the work.