15 farmers need 20 days to complete their work and ask students to help them.

Question

15 farmers can finish their work in 20 days.knowing that 7 students can finish the same amount as much as 5 workers. How much time will it take for the farmers to finish their work if 14 students helped them in 9 days?

Answer 1

15 farmers do the work in 20 days

5 farmers take 3 times as long to do the work in 60 days

7 students do the work in 60 days

14 students do the work in 30 days

in 9 days 14 students do 9/30 = 3/10 of the work

in 9 days 15 farmers do 9/20 of the the work

in 9 days together they do 3/10+9/20 = 6/20+9/20 = 15/20 =3/4 of the work

in another 5 days the farmers, without the students will do 1/4 of the work

1/4+3/4 = all the work

with students working 9 days and farmers working 14 days, they'll finish the work