Multiple choice

In a farm, a landlord has assigned a job to the supervisors and workers. It took 8 days for 4 supervisors and 6 workers to finish the work. 3 supervisors and 7 workers took 10 days to complete the same job. If the landlord assigns 10 workers to complete the work, then find out the number of days they will take to finish it.

  1. 40

  2. 20

  3. 35

  4. 50

  5. 60
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let S be the work of a supervisor and W be the work of a worker per day. From the problem, 8(4S + 6W) = 10(3S + 7W), which simplifies to 32S + 48W = 30S + 70W, or 2S = 22W, meaning S = 11W. Substituting back, the total work is 8(4(11W) + 6W) = 8(50W) = 400W. If 10 workers do the job, they take 400W / 10W = 40 days.

Keep practicing — related questions