Multiple choice

Five sowing machines operate at the same constant rate and, working together, can finish sowing the field in 8 days. If the farmer needs to finish sowing the same field in 5 days, how many additional sowing machines will he need to use at the same constant rate?

  1. 2

  2. 3

  3. 4

  4. 5

  5. 6

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total work = 5 machines * 8 days = 40 machine-days. To finish in 5 days, machines needed = 40 / 5 = 8. Additional machines = 8 - 5 = 3.

AI explanation

Five machines complete the work in 8 days, so using the inverse proportion formula for work, the total work is 40 machine-days. To complete 40 machine-days of work in 5 days, the farmer needs 8 machines (40 divided by 5). He already has 5 machines, so he needs 3 additional machines.